Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons

This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new analytic continuation formulas are found that represent it in the form of Horn hypergeometric series exponentially converging in correspondi...

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Published in:	Computational mathematics and mathematical physics Vol. 63; no. 11; pp. 1955 - 1988
Main Author:	Bezrodnykh, S. I.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.11.2023 Springer Nature B.V
Subjects:	Complex variables Computation Computational Mathematics and Numerical Analysis Conformal mapping Convergence General Numerical Methods Geometry Hypergeometric functions Hyperplanes Identities Integrals Mathematics Mathematics and Statistics Partial differential equations Polygons Variables analytic continuation Schwarz–Christoffel integral crowding effect Lauricella and Horn functions Euler-type hypergeometric integrals
ISSN:	0965-5425, 1555-6662
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Abstract	This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new analytic continuation formulas are found that represent it in the form of Horn hypergeometric series exponentially converging in corresponding subdomains of , including near hyperplanes of the form , , . The continuation formulas and identities for found in this paper make up an effective apparatus for computing this function and Euler-type integrals expressed in terms of it in the entire complex space , including complicated cases when the variables form one or several groups of closely spaced neighbors. The results are used to compute parameters of the Schwarz–Christoffel integral in the case of crowding and to construct conformal mappings of polygons.
AbstractList	This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new analytic continuation formulas are found that represent it in the form of Horn hypergeometric series exponentially converging in corresponding subdomains of , including near hyperplanes of the form , , . The continuation formulas and identities for found in this paper make up an effective apparatus for computing this function and Euler-type integrals expressed in terms of it in the entire complex space , including complicated cases when the variables form one or several groups of closely spaced neighbors. The results are used to compute parameters of the Schwarz–Christoffel integral in the case of crowding and to construct conformal mappings of polygons. This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new analytic continuation formulas are found that represent it in the form of Horn hypergeometric series exponentially converging in corresponding subdomains of , including near hyperplanes of the form , , . The continuation formulas and identities for found in this paper make up an effective apparatus for computing this function and Euler-type integrals expressed in terms of it in the entire complex space , including complicated cases when the variables form one or several groups of closely spaced neighbors. The results are used to compute parameters of the Schwarz–Christoffel integral in the case of crowding and to construct conformal mappings of polygons.
Author	Bezrodnykh, S. I.
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Cites_doi	10.1007/BF03012437 10.1134/S0965542522120041 10.1145/229473.229475 10.1070/RM1992v047n04ABEH000915 10.1080/10652469.2020.1744590 10.1070/RM9841 10.1080/10652469.2021.2017427 10.1080/10652469.2022.2056600 10.1007/978-3-642-87224-2 10.1134/S0965542522120132 10.1016/0001-8708(90)90048-R 10.1137/060677392 10.1016/j.nuclphysb.2017.05.018 10.1007/978-3-322-90163-7 10.1016/0377-0427(86)90139-1 10.1088/0264-9381/24/7/007 10.1137/0901004 10.1007/978-3-642-94749-0 10.1134/S0001434622090218 10.1070/SM2012v203n12ABEH004284 10.1134/S0965542521110154 10.1093/mnras/stz787 10.1134/S1995080219070096
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Copyright	Pleiades Publishing, Ltd. 2023. ISSN 0965-5425, Computational Mathematics and Mathematical Physics, 2023, Vol. 63, No. 11, pp. 1955–1988. © Pleiades Publishing, Ltd., 2023. Russian Text © The Author(s), 2023, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2023, Vol. 63, No. 11, pp. 1763–1798. Pleiades Publishing, Ltd. 2023.
Copyright_xml	– notice: Pleiades Publishing, Ltd. 2023. ISSN 0965-5425, Computational Mathematics and Mathematical Physics, 2023, Vol. 63, No. 11, pp. 1955–1988. © Pleiades Publishing, Ltd., 2023. Russian Text © The Author(s), 2023, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2023, Vol. 63, No. 11, pp. 1763–1798. – notice: Pleiades Publishing, Ltd. 2023.
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Keywords	analytic continuation Schwarz–Christoffel integral crowding effect Lauricella and Horn functions Euler-type hypergeometric integrals
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References	BanjaiL.Revisiting the crowding phenomenon in Schwarz–Christoffel mappingSIAM J. Sci. Comput.200830618636238587810.1137/060677392 K. Matsumoto, “Relative twisted homology and cohomology groups associated with Lauricella’s FD” (2019). ArXiv:1804.00366v2 VlasovV. I.SkorokhodovS. L.Conformal mapping of an L-shaped domain in analytical formComput. Math. Math. Phys.20226219712007453177710.1134/S0965542522120132 BezrodnykhS. I.VlasovV. I.The Riemann–Hilbert problem in a complicated domain for the model of magnetic reconnection in plasmaComput. Math. Math. Phys.2002422632981934042 HenriciP.Applied and Computational Complex Analysis1991New YorkWiley GaierD.Konstructive Methoden der konformen Abbildung1964BerlinSpringer-Verlag10.1007/978-3-642-87224-2 BergéJ.MasseyR.BaghiQ.TouboulP.Exponential shapelets: Basis functions for data analysis of isolated featureMon. Not. R. Astron. Soc.201948654455910.1093/mnras/stz787 NakipovN. N.NasyrovS. R.“Parametric method for finding accessory parameters in generalized Schwarz–Christoffel integrals,” Uch. Zap. Kazan. Univ. Ser. Fiz.-matNauki2016158201220 BrychkovYu. A.SavischenkoN. V.Application of hypergeometric functions of two variables in wireless communication theoryLobachevskii J. Math.201940938953399418310.1134/S1995080219070096 BezrodnykhS. I.The Lauricella hypergeometric function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_{D}^{{(N)}}$$\end{document}Russ. Math. Surv.201873941103110.1070/RM9841 Gel’fandI. M.GraevM. I.RetakhV. S.General hypergeometric systems of equations and series of hypergeometric typeRuss. Math. Surv.199247188120888210.1070/RM1992v047n04ABEH000915 BezrodnykhS. I.Analytic continuation of the Horn hypergeometric series with an arbitrary number of variablesIntegral Transforms Spec. Funct.202031788803415432310.1080/10652469.2020.1744590 V. I. Vlasov, Doctoral Dissertation in Mathematics and Physics (Computing Center, USSR Academy of Sciences, Moscow, 1990). KratzerA.FranzW.Transzendente Funktionen1960LeipzigAkademische Verlagsgesellschaft ExtonH.Multiple Hypergeometric Functions and Application1976New YorkWiley VlasovV. I.Variation in a mapping function under domain deformationDokl. Akad. Nauk SSSR198427512991302746373 PrimoaA.TancredicL.Maximal cuts and differential equations for Feynman integrals: An application to the three-loop massive banana graphNucl. Phys. B2017921316356367927110.1016/j.nuclphysb.2017.05.018 BrychkovYu. A.SavischenkoN. V.On some formulas for the Horn functions 202110.1080/10652469.2021.2017427 TrefethenL. N.DriscollT. A.Schwarz–Christoffel Transformation2005CambridgeCambridge Univ. Press ErdélyiA.Higher Transcendental Functions (Bateman Manuscript Project)1953New YorkMcGraw-Hill KalmykovM.BytevV.KniehlB.MochS.-O.WardB.YostS.Anti-Differentiation and the Calculation of Feynman Amplitudes2021ChamSpringer KraniotisG. V.Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr–de Sitter black hole spacetimesClassical Quantum Gravitation20072417751808231035710.1088/0264-9381/24/7/007 GoluzinG.KantorovichL.KrylovV.Melent’evP.MuratovM.SteninN.Conformal Mappings of Simply and Multiply Connected Domains1937LeningradNauka Lavrent’evM. A.ShabatB. V.Methods of the Theory of Functions of a Complex Variable1965MoscowNauka IwasakiK.KimuraH.ShimomuraSh.YoshidaM.From Gauss to Painlevé: A Modern Theory of Special Functions1991BraunschweigFriedrich Vieweg & Sohn10.1007/978-3-322-90163-7 B. Ananthanarayan, S. Beraay, S. Friot, O. Marichev, and T. Pathak, “On the evaluation of the Appell F2 double hypergeometric function” (2021). arXiv:2111.05798v1 BezrodnykhS. I.Lauricella function and the conformal mapping of polygonsMath. Notes2022112505522453878610.1134/S0001434622090218 ErdélyiA.Higher Transcendental Functions (Bateman Manuscript Project)1955New YorkMcGraw-Hill VlasovV. I.SkorokhodovS. L.Analytical solution for the cavitating flow over a wedge IIComput. Math. Math. Phys.20216118341854434944810.1134/S0965542521110154 SadykovT. M.TsikhA. K.Hypergeometric and Algebraic Functions of Several Variables2014MoscowNauka ZemachC.A conformal map formula for difficult casesJ. Comput. Appl. Math.19861420721582903910.1016/0377-0427(86)90139-1 L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis (Fizmatgiz, Moscow, 1962; Wiley, New York, 1964). TrefethenL. N.Numerical computation of the Schwarz–Christoffel transformationSIAM J. Sci. Stat. Comput.198018210257254210.1137/0901004 AkerblomN.FlohrM.Explicit formulas for the scalar modes in Seiberg–Witten theory with an application to the Argyres–Douglas pointJ. High Energy Phys.20052242138949 BezrodnykhS. I.Formulas for computing the Lauricella function in the case of crowding of variablesComput. Math. Math. Phys.20226220692090453178310.1134/S0965542522120041 KrikelesB. C.RubinR. L.On the crowding of parameters associated with Schwarz–Christoffel transformationAppl. Math. Comput.198828297308973486 BezrodnykhS. I.VlasovV. I.The Riemann–Hilbert problem in domains of complex geometry and its applicationsSpectral Evolution Probl.2006165161 GolubevV. V.Lectures on Analytic Theory of Differential Equations1950MoscowGostekhizdat BogatyrevA. B.Conformal mapping of rectangular heptagonsSb. Math.201220317151735306006810.1070/SM2012v203n12ABEH004284 KoppenfelsW.StallmannF.Praxis der konformen Abbildung1959BerlinSpringer-Verlag10.1007/978-3-642-94749-0 DriscollT. A.A MATLAB toolbox for Schwarz–Christoffel mappingACM Trans. Math. Soft.19962216818610.1145/229473.229475 LooijengaE.Arithmetic and Geometry around Hypergeometric Functions2005BaselBirkhäuser GelfandI. M.KapranovM. M.ZelevinskyA. V.Generalized Euler integrals and A-hypergeometric functionsAdv. Math.199084255271108098010.1016/0001-8708(90)90048-R LauricellaG.Sulle funzioni ipergeometriche a piu variabiliRend. Circ. Math. Palermo1893711115810.1007/BF03012437 BrychkovYu. A.SavischenkoN. V.On some formulas for the Horn function202110.1080/10652469.2022.2056600 N. Akerblom (1901_CR8) 2005; 2 G. V. Kraniotis (1901_CR4) 2007; 24 S. I. Bezrodnykh (1901_CR20) 2018; 73 D. Gaier (1901_CR33) 1964 (1901_CR45) 1955 I. M. Gel’fand (1901_CR22) 1992; 47 A. Primoa (1901_CR5) 2017; 921 N. N. Nakipov (1901_CR37) 2016; 158 G. Lauricella (1901_CR18) 1893; 7 G. Goluzin (1901_CR31) 1937 W. Koppenfels (1901_CR15) 1959 S. I. Bezrodnykh (1901_CR21) 2022; 62 L. N. Trefethen (1901_CR16) 1980; 1 I. M. Gelfand (1901_CR11) 1990; 84 E. Looijenga (1901_CR9) 2005 V. I. Vlasov (1901_CR44) 1984; 275 V. V. Golubev (1901_CR13) 1950 M. A. Lavrent’ev (1901_CR14) 1965 P. Henrici (1901_CR17) 1991 1901_CR26 L. N. Trefethen (1901_CR41) 2005 T. A. Driscoll (1901_CR42) 1996; 22 K. Iwasaki (1901_CR19) 1991 1901_CR43 L. Banjai (1901_CR39) 2008; 30 S. I. Bezrodnykh (1901_CR23) 2020; 31 A. Kratzer (1901_CR1) 1960 T. M. Sadykov (1901_CR24) 2014 M. Kalmykov (1901_CR28) 2021 Yu. A. Brychkov (1901_CR27) 2021 (1901_CR3) 1953 Yu. A. Brychkov (1901_CR25) 2021 C. Zemach (1901_CR29) 1986; 14 B. C. Krikeles (1901_CR30) 1988; 28 Yu. A. Brychkov (1901_CR7) 2019; 40 S. I. Bezrodnykh (1901_CR34) 2002; 42 A. B. Bogatyrev (1901_CR36) 2012; 203 V. I. Vlasov (1901_CR40) 2022; 62 J. Bergé (1901_CR6) 2019; 486 S. I. Bezrodnykh (1901_CR35) 2006; 16 1901_CR12 V. I. Vlasov (1901_CR10) 2021; 61 1901_CR32 S. I. Bezrodnykh (1901_CR38) 2022; 112 H. Exton (1901_CR2) 1976
References_xml	– reference: BezrodnykhS. I.Lauricella function and the conformal mapping of polygonsMath. Notes2022112505522453878610.1134/S0001434622090218 – reference: TrefethenL. N.Numerical computation of the Schwarz–Christoffel transformationSIAM J. Sci. Stat. Comput.198018210257254210.1137/0901004 – reference: DriscollT. A.A MATLAB toolbox for Schwarz–Christoffel mappingACM Trans. Math. Soft.19962216818610.1145/229473.229475 – reference: VlasovV. I.SkorokhodovS. L.Conformal mapping of an L-shaped domain in analytical formComput. Math. Math. Phys.20226219712007453177710.1134/S0965542522120132 – reference: ExtonH.Multiple Hypergeometric Functions and Application1976New YorkWiley – reference: V. I. Vlasov, Doctoral Dissertation in Mathematics and Physics (Computing Center, USSR Academy of Sciences, Moscow, 1990). – reference: TrefethenL. N.DriscollT. A.Schwarz–Christoffel Transformation2005CambridgeCambridge Univ. Press – reference: Lavrent’evM. A.ShabatB. V.Methods of the Theory of Functions of a Complex Variable1965MoscowNauka – reference: L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis (Fizmatgiz, Moscow, 1962; Wiley, New York, 1964). – reference: KratzerA.FranzW.Transzendente Funktionen1960LeipzigAkademische Verlagsgesellschaft – reference: KraniotisG. V.Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr–de Sitter black hole spacetimesClassical Quantum Gravitation20072417751808231035710.1088/0264-9381/24/7/007 – reference: BezrodnykhS. I.VlasovV. I.The Riemann–Hilbert problem in a complicated domain for the model of magnetic reconnection in plasmaComput. Math. Math. Phys.2002422632981934042 – reference: AkerblomN.FlohrM.Explicit formulas for the scalar modes in Seiberg–Witten theory with an application to the Argyres–Douglas pointJ. High Energy Phys.20052242138949 – reference: BanjaiL.Revisiting the crowding phenomenon in Schwarz–Christoffel mappingSIAM J. Sci. Comput.200830618636238587810.1137/060677392 – reference: HenriciP.Applied and Computational Complex Analysis1991New YorkWiley – reference: BrychkovYu. A.SavischenkoN. V.On some formulas for the Horn functions 202110.1080/10652469.2021.2017427 – reference: GoluzinG.KantorovichL.KrylovV.Melent’evP.MuratovM.SteninN.Conformal Mappings of Simply and Multiply Connected Domains1937LeningradNauka – reference: BrychkovYu. A.SavischenkoN. V.Application of hypergeometric functions of two variables in wireless communication theoryLobachevskii J. Math.201940938953399418310.1134/S1995080219070096 – reference: Gel’fandI. M.GraevM. I.RetakhV. S.General hypergeometric systems of equations and series of hypergeometric typeRuss. Math. Surv.199247188120888210.1070/RM1992v047n04ABEH000915 – reference: KrikelesB. C.RubinR. L.On the crowding of parameters associated with Schwarz–Christoffel transformationAppl. Math. Comput.198828297308973486 – reference: GaierD.Konstructive Methoden der konformen Abbildung1964BerlinSpringer-Verlag10.1007/978-3-642-87224-2 – reference: KoppenfelsW.StallmannF.Praxis der konformen Abbildung1959BerlinSpringer-Verlag10.1007/978-3-642-94749-0 – reference: NakipovN. N.NasyrovS. R.“Parametric method for finding accessory parameters in generalized Schwarz–Christoffel integrals,” Uch. Zap. Kazan. Univ. Ser. Fiz.-matNauki2016158201220 – reference: BezrodnykhS. I.Analytic continuation of the Horn hypergeometric series with an arbitrary number of variablesIntegral Transforms Spec. Funct.202031788803415432310.1080/10652469.2020.1744590 – reference: ErdélyiA.Higher Transcendental Functions (Bateman Manuscript Project)1953New YorkMcGraw-Hill – reference: K. Matsumoto, “Relative twisted homology and cohomology groups associated with Lauricella’s FD” (2019). ArXiv:1804.00366v2 – reference: BezrodnykhS. I.The Lauricella hypergeometric function \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_{D}^{{(N)}}$$\end{document}Russ. Math. Surv.201873941103110.1070/RM9841 – reference: IwasakiK.KimuraH.ShimomuraSh.YoshidaM.From Gauss to Painlevé: A Modern Theory of Special Functions1991BraunschweigFriedrich Vieweg & Sohn10.1007/978-3-322-90163-7 – reference: SadykovT. M.TsikhA. K.Hypergeometric and Algebraic Functions of Several Variables2014MoscowNauka – reference: VlasovV. I.SkorokhodovS. L.Analytical solution for the cavitating flow over a wedge IIComput. Math. Math. Phys.20216118341854434944810.1134/S0965542521110154 – reference: GelfandI. M.KapranovM. M.ZelevinskyA. V.Generalized Euler integrals and A-hypergeometric functionsAdv. Math.199084255271108098010.1016/0001-8708(90)90048-R – reference: VlasovV. I.Variation in a mapping function under domain deformationDokl. Akad. Nauk SSSR198427512991302746373 – reference: BergéJ.MasseyR.BaghiQ.TouboulP.Exponential shapelets: Basis functions for data analysis of isolated featureMon. Not. R. Astron. Soc.201948654455910.1093/mnras/stz787 – reference: BogatyrevA. B.Conformal mapping of rectangular heptagonsSb. Math.201220317151735306006810.1070/SM2012v203n12ABEH004284 – reference: ZemachC.A conformal map formula for difficult casesJ. Comput. Appl. Math.19861420721582903910.1016/0377-0427(86)90139-1 – reference: B. Ananthanarayan, S. Beraay, S. Friot, O. Marichev, and T. Pathak, “On the evaluation of the Appell F2 double hypergeometric function” (2021). arXiv:2111.05798v1 – reference: GolubevV. V.Lectures on Analytic Theory of Differential Equations1950MoscowGostekhizdat – reference: ErdélyiA.Higher Transcendental Functions (Bateman Manuscript Project)1955New YorkMcGraw-Hill – reference: BrychkovYu. A.SavischenkoN. V.On some formulas for the Horn function202110.1080/10652469.2022.2056600 – reference: LooijengaE.Arithmetic and Geometry around Hypergeometric Functions2005BaselBirkhäuser – reference: BezrodnykhS. I.Formulas for computing the Lauricella function in the case of crowding of variablesComput. Math. Math. Phys.20226220692090453178310.1134/S0965542522120041 – reference: LauricellaG.Sulle funzioni ipergeometriche a piu variabiliRend. Circ. Math. Palermo1893711115810.1007/BF03012437 – reference: PrimoaA.TancredicL.Maximal cuts and differential equations for Feynman integrals: An application to the three-loop massive banana graphNucl. Phys. B2017921316356367927110.1016/j.nuclphysb.2017.05.018 – reference: BezrodnykhS. I.VlasovV. I.The Riemann–Hilbert problem in domains of complex geometry and its applicationsSpectral Evolution Probl.2006165161 – reference: KalmykovM.BytevV.KniehlB.MochS.-O.WardB.YostS.Anti-Differentiation and the Calculation of Feynman Amplitudes2021ChamSpringer – volume-title: Anti-Differentiation and the Calculation of Feynman Amplitudes year: 2021 ident: 1901_CR28 – volume-title: Methods of the Theory of Functions of a Complex Variable year: 1965 ident: 1901_CR14 – volume-title: Multiple Hypergeometric Functions and Application year: 1976 ident: 1901_CR2 – volume: 2 start-page: 24 year: 2005 ident: 1901_CR8 publication-title: J. High Energy Phys. – volume: 7 start-page: 111 year: 1893 ident: 1901_CR18 publication-title: Rend. Circ. Math. Palermo doi: 10.1007/BF03012437 – volume: 62 start-page: 2069 year: 2022 ident: 1901_CR21 publication-title: Comput. Math. Math. Phys. doi: 10.1134/S0965542522120041 – volume: 22 start-page: 168 year: 1996 ident: 1901_CR42 publication-title: ACM Trans. Math. Soft. doi: 10.1145/229473.229475 – volume-title: Higher Transcendental Functions (Bateman Manuscript Project) year: 1953 ident: 1901_CR3 – volume: 47 start-page: 1 year: 1992 ident: 1901_CR22 publication-title: Russ. Math. Surv. doi: 10.1070/RM1992v047n04ABEH000915 – volume-title: Applied and Computational Complex Analysis year: 1991 ident: 1901_CR17 – volume: 31 start-page: 788 year: 2020 ident: 1901_CR23 publication-title: Integral Transforms Spec. Funct. doi: 10.1080/10652469.2020.1744590 – volume: 73 start-page: 941 year: 2018 ident: 1901_CR20 publication-title: Russ. Math. Surv. doi: 10.1070/RM9841 – volume-title: Conformal Mappings of Simply and Multiply Connected Domains year: 1937 ident: 1901_CR31 – volume-title: On some formulas for the Horn functions year: 2021 ident: 1901_CR25 doi: 10.1080/10652469.2021.2017427 – volume-title: Arithmetic and Geometry around Hypergeometric Functions year: 2005 ident: 1901_CR9 – volume-title: On some formulas for the Horn function year: 2021 ident: 1901_CR27 doi: 10.1080/10652469.2022.2056600 – volume-title: Konstructive Methoden der konformen Abbildung year: 1964 ident: 1901_CR33 doi: 10.1007/978-3-642-87224-2 – volume: 62 start-page: 1971 year: 2022 ident: 1901_CR40 publication-title: Comput. Math. Math. Phys. doi: 10.1134/S0965542522120132 – volume: 84 start-page: 255 year: 1990 ident: 1901_CR11 publication-title: Adv. Math. doi: 10.1016/0001-8708(90)90048-R – ident: 1901_CR12 – volume: 30 start-page: 618 year: 2008 ident: 1901_CR39 publication-title: SIAM J. Sci. Comput. doi: 10.1137/060677392 – volume-title: Higher Transcendental Functions (Bateman Manuscript Project) year: 1955 ident: 1901_CR45 – volume: 158 start-page: 201 year: 2016 ident: 1901_CR37 publication-title: Nauki – volume: 921 start-page: 316 year: 2017 ident: 1901_CR5 publication-title: Nucl. Phys. B doi: 10.1016/j.nuclphysb.2017.05.018 – volume-title: From Gauss to Painlevé: A Modern Theory of Special Functions year: 1991 ident: 1901_CR19 doi: 10.1007/978-3-322-90163-7 – volume: 28 start-page: 297 year: 1988 ident: 1901_CR30 publication-title: Appl. Math. Comput. – volume: 14 start-page: 207 year: 1986 ident: 1901_CR29 publication-title: J. Comput. Appl. Math. doi: 10.1016/0377-0427(86)90139-1 – ident: 1901_CR26 – volume: 24 start-page: 1775 year: 2007 ident: 1901_CR4 publication-title: Classical Quantum Gravitation doi: 10.1088/0264-9381/24/7/007 – ident: 1901_CR32 – volume: 275 start-page: 1299 year: 1984 ident: 1901_CR44 publication-title: Dokl. Akad. Nauk SSSR – volume: 1 start-page: 82 year: 1980 ident: 1901_CR16 publication-title: SIAM J. Sci. Stat. Comput. doi: 10.1137/0901004 – volume-title: Hypergeometric and Algebraic Functions of Several Variables year: 2014 ident: 1901_CR24 – volume-title: Praxis der konformen Abbildung year: 1959 ident: 1901_CR15 doi: 10.1007/978-3-642-94749-0 – volume: 112 start-page: 505 year: 2022 ident: 1901_CR38 publication-title: Math. Notes doi: 10.1134/S0001434622090218 – volume: 16 start-page: 51 year: 2006 ident: 1901_CR35 publication-title: Spectral Evolution Probl. – ident: 1901_CR43 – volume: 203 start-page: 1715 year: 2012 ident: 1901_CR36 publication-title: Sb. Math. doi: 10.1070/SM2012v203n12ABEH004284 – volume-title: Schwarz–Christoffel Transformation year: 2005 ident: 1901_CR41 – volume: 61 start-page: 1834 year: 2021 ident: 1901_CR10 publication-title: Comput. Math. Math. Phys. doi: 10.1134/S0965542521110154 – volume-title: Transzendente Funktionen year: 1960 ident: 1901_CR1 – volume: 42 start-page: 263 year: 2002 ident: 1901_CR34 publication-title: Comput. Math. Math. Phys. – volume: 486 start-page: 544 year: 2019 ident: 1901_CR6 publication-title: Mon. Not. R. Astron. Soc. doi: 10.1093/mnras/stz787 – volume: 40 start-page: 938 year: 2019 ident: 1901_CR7 publication-title: Lobachevskii J. Math. doi: 10.1134/S1995080219070096 – volume-title: Lectures on Analytic Theory of Differential Equations year: 1950 ident: 1901_CR13
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Snippet	This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new... This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new...
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StartPage	1955
SubjectTerms	Complex variables Computation Computational Mathematics and Numerical Analysis Conformal mapping Convergence General Numerical Methods Geometry Hypergeometric functions Hyperplanes Identities Integrals Mathematics Mathematics and Statistics Partial differential equations Polygons Variables
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Title	Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons
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