Výsledky vyhledávání - "Representations of entire functions of one complex variable by series and integrals"

A q-theorem of Pólya using Hurwitz partial fraction method: A \(q\)-theorem of Pólya using Hurwitz partial fraction method

Autoři: M. H. Annaby S. R. Elsayed-Abdullah

Zdroj: The Journal of Analysis. 33:369-385

Témata: Pólya-Hurwitz partial fraction expansions, Representations of entire functions of one complex variable by series and integrals, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), \(q\)-sampling theory, Normal functions of one complex variable, normal families, zeros of entire functions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/8035351
https://doi.org/10.1007/s41478-024-00839-9

On the Definition of Higher Gamma Functions: On the definition of higher gamma functions

Autoři: Pérez-Marco, Ricardo

Přispěvatelé: Pérez-Marco, Ricardo

Zdroj: Constructive Approximation. 61:413-443

Témata: 30D15 Gamma function, Representations of entire functions of one complex variable by series and integrals, Mathematics - Complex Variables, multiple gamma functions, Special classes of entire functions of one complex variable and growth estimates, History of special functions, Mellin Gamma functions, 2010 Mathematics Subject Classification. Primary: 33B15. Secondary: 30D10, 01 natural sciences, gamma function, 33B15, 30D10, 30D15, Barnes Gamma function, Mathematics - Classical Analysis and ODEs, Jackson \(q\)-gamma function, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], Classical Analysis and ODEs (math.CA), FOS: Mathematics, Mellin gamma functions, Jackson q-Gamma function, Barnes gamma function, 0101 mathematics, Complex Variables (math.CV), Gamma, beta and polygamma functions, [MATH.MATH-NT] Mathematics [math]/Number Theory [math.NT]

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2101.01291
https://zbmath.org/8018007
https://doi.org/10.1007/s00365-023-09674-w
https://hal.science/hal-03096445v1/document
https://doi.org/10.1007/s00365-023-09674-w
https://hal.science/hal-03096445v1

A growth aspect of entire functions of infinite order

Autoři: Singh, J. P.

Zdroj: Publicationes Mathematicae Debrecen. 23:249-253

Témata: Entire functions of one complex variable (general theory), Representations of entire functions of one complex variable by series and integrals, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3460633

Logarithmic mean function of entire functions defined by Dirichlet series

Autoři: Gupta, J. S. Singh, Manjit

Zdroj: Publicationes Mathematicae Debrecen. 20:13-19

Témata: Representations of entire functions of one complex variable by series and integrals, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3450563

On a property of finite truncations of the Laurent series of analytic functions

Autoři: Abian, Alexander

Zdroj: Publicationes Mathematicae Debrecen. 30:129-131

Témata: Representations of entire functions of one complex variable by series and integrals, Picard exceptional value, finite truncations, 0101 mathematics, Laurent series, 01 natural sciences, isolated essential singularity

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/3867670

Effectiveness of Cannon and composite set of polynomials of two complex variables in Faber regions

Autoři: Ajayi Adepoju, Jerome Mogbademu, Adesanmi Alao

Zdroj: Proyecciones (Antofagasta, On line); Vol. 39 No. 3 (2020); 651-662 ; Proyecciones. Revista de Matemática; Vol. 39 Núm. 3 (2020); 651-662 ; 0717-6279 ; 10.22199/issn.0717-6279-2020-03

Témata: Basic set, Faber polynomials, Faber regions, Faber curves, Composite set, Cannon set, Cannon function, Cannon sum, Constituent set, Effectiveness, 30A10, Inequalities in the complex plane, 30C10, Polynomials and rational functions of one complex variable, 30C20, Conformal mappings of special domains, 30D10, Representations of entire functions of one complex variable by series and integrals, 32A05, Power series, series of functions of several complex variables

Popis souboru: application/pdf

Relation: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3599/3419; https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3599

Dostupnost: https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/3599
https://doi.org/10.22199/issn.0717-6279-2020-03-0040

A UNIQUENESS THEOREM IN THE INVERSE SPECTRAL THEORY OF A CERTAIN HIGHER-ORDER ORDINARY DIFFERENTIAL EQUATION USING PALEY–WIENER METHODS: A uniqueness theorem in the inverse spectral theory of a certain higher-order ordinary differential equation using Paley-Wiener methods

Autoři: Erik Andersson

Zdroj: Journal of the London Mathematical Society. 72:169-184

Témata: Representations of entire functions of one complex variable by series and integrals, Inverse problems involving ordinary differential equations, Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), General theory of ordinary differential operators, inverse problem, spectral measure, Special classes of entire functions of one complex variable and growth estimates, Paley-Wiener theorem, 0101 mathematics, 01 natural sciences, Weyl theory and its generalizations for ordinary differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610704005770
https://documat.unirioja.es/servlet/articulo?codigo=2207499
https://dialnet.unirioja.es/servlet/articulo?codigo=2522803
https://academic.oup.com/jlms/article-abstract/72/1/169/864939
https://portal.research.lu.se/sv/publications/a-uniqueness-theorem-in-the-inverse-spectral-theory-of-a-certain-
https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/uniqueness-theorem-in-the-inverse-spectral-theory-of-a-certain-higherorder-ordinary-differential-equation-using-paleywiener-methods/E509C78C63CE12D98B443B26A0C63786

Continuity of solutions to the autocorrelation equation

Autoři: Elias Wegert Lothar von Wolfersdorf

Zdroj: Mathematical Methods in the Applied Sciences. 28:687-707

Témata: Other nonlinear integral equations, continuity of canonical solution, quadratic integral equation, Representations of entire functions of one complex variable by series and integrals, autocorrelation equation, Fourier technique, inner-outer factorization, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://ui.adsabs.harvard.edu/abs/2005MMAS...28..687W/abstract
http://onlinelibrary.wiley.com/doi/10.1002/mma.589/abstract

A generalization of the Funk-Hecke theorem to the case of hyperbolic spaces: Generalization of the Funk-Hecke theorem to the case of a hyperbolic space.

Autoři: T V Shtepina

Zdroj: Izvestiya: Mathematics. 68:1051-1061

Témata: Integral operators, eigenvector, Representations of entire functions of one complex variable by series and integrals, eigenvalue, General topics in linear spectral theory for PDEs, Special integral transforms (Legendre, Hilbert, etc.), hyperbolic harmonic, integral operator, 0101 mathematics, Harmonic analysis and spherical functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2168419
https://doi.org/10.1070/im2004v068n05abeh000508
http://stacks.iop.org/1064-5632/68/i=5/a=A08?key=crossref.39abdb6c6f098c7f0d818f6b5de5b64d
http://iopscience.iop.org/article/10.1070/IM2004v068n05ABEH000508/meta
http://iopscience.iop.org/article/10.1070/IM2004v068n05ABEH000508/pdf
https://ui.adsabs.harvard.edu/abs/2004IzMat..68.1051S/abstract

Asymptotic expansions of the Hurwitz–Lerch zeta function: Asymptotic expansions of the Hurwitz--Lerch zeta function

Autoři: José L. López Chelo Ferreira

Zdroj: Journal of Mathematical Analysis and Applications. 298:210-224

Témata: Analytic continuation, Representations of entire functions of one complex variable by series and integrals, Asymptotic expansions, Applied Mathematics, Hurwitz and Lerch zeta functions, 0101 mathematics, 01 natural sciences, Analysis, Hurwitz-Lerch zeta function

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2117737
https://doi.org/10.1016/j.jmaa.2004.05.040
http://pcmap.unizar.es/~chelo/investig/publicaciones/chelo/Hurwitz-Lerch/original.pdf
https://www.sciencedirect.com/science/article/pii/S0022247X04003920
https://www.sciencedirect.com/science/article/abs/pii/S0022247X04003920

Relationship Between Morse and Murrell-Mottram Potentials at Long Range: Relationship between Morse and Murrell-Mottram potentials at long range

Autoři: Lim, T.-C. NUS NANOSCIENCE & NANOTECH INITIATIVE

Přispěvatelé: Lim, T.-C. NUS NANOSCIENCE & NANOTECH INITIATIVE

Zdroj: Journal of Mathematical Chemistry. 36:139-145

Témata: dissociation energy, series approximation, potential function, Representations of entire functions of one complex variable by series and integrals, interatomic potentials, Perturbation theories for operators and differential equations in quantum theory, 01 natural sciences, 0104 chemical sciences, Approximations and expansions, 0103 physical sciences, covalent bonds, Maclaurin's series, Molecular physics

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/B:JOMC.0000038773.33727.e3
https://link.springer.com/10.1023/B:JOMC.0000038773.33727.e3

On the Siegel Conjecture for Second-Order Homogeneous Linear Differential Equations: On the Siegel conjecture for second-order homogeneous linear differential equations

Autoři: V. A. Gorelov

Zdroj: Mathematical Notes. 75:513-529

Témata: Siegel method, Representations of entire functions of one complex variable by series and integrals, Formal solutions and transform techniques for ordinary differential equations in the complex domain, Kummer functions, \(E\)-functions, Entire and meromorphic solutions to ordinary differential equations in the complex domain, 0101 mathematics, 01 natural sciences, second-order homogeneous linear differential equations

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1023/B%3AMATN.0000023333.36063.12

General sampling theorem using contour integral: General sampling theorem using contour integral.

Autoři: Soon-Yeong Chung Chang Eon Shin Dohan Kim

Zdroj: Journal of Mathematical Analysis and Applications. 291:50-65

Témata: Contour integral, Representations of entire functions of one complex variable by series and integrals, Applied Mathematics, 0101 mathematics, Sampling theorem, 01 natural sciences, Sampling theory in information and communication theory, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://core.ac.uk/display/82802579
https://www.sciencedirect.com/science/article/abs/pii/S0022247X03007972
https://www.sciencedirect.com/science/article/pii/S0022247X03007972

A Generalization of Newman’s Result on the Zeros of Fourier Transforms: A generalization of Newman's result on the zeros of Fourier transforms

Autoři: Haseo Ki Young-One Kim

Zdroj: Computational Methods and Function Theory. 2:449-467

Témata: 03 medical and health sciences, Riemann's \(\zeta\)-function, 0302 clinical medicine, Representations of entire functions of one complex variable by series and integrals, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), 0101 mathematics, 01 natural sciences, zeros of Fourier transforms

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2103478
https://doi.org/10.1007/bf03321859
https://link.springer.com/article/10.1007/BF03321859

Local Behavior of Entire Functions of Exponential Type: Local behavior of entire functions of exponential type

Autoři: Qazi I. Rahman M. A. Qazi Dimiter Dryanov

Zdroj: Computational Methods and Function Theory. 2:319-336

Témata: Representations of entire functions of one complex variable by series and integrals, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), local behaviour, Special classes of entire functions of one complex variable and growth estimates, Inequalities in the complex plane, 0101 mathematics, 01 natural sciences, entire functions, exponential type

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/article/10.1007/BF03321852

De Bruijn’s question on the zeros of Fourier transforms: De Bruijn's question on the zeros of Fourier transforms

Autoři: Young One Kim Haseo Ki

Zdroj: Journal d'Analyse Mathématique. 91:369-387

Témata: 03 medical and health sciences, 0302 clinical medicine, universal factors, Representations of entire functions of one complex variable by series and integrals, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, differential operators, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, Laguerre-Pólya class, 16. Peace & justice, 01 natural sciences, zeros of Fourier transforms

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2103502
https://doi.org/10.1007/bf02788795
https://link.springer.com/article/10.1007%2FBF02788795
https://link.springer.com/content/pdf/10.1007/BF02788795.pdf
https://yonsei.pure.elsevier.com/en/publications/de-bruijns-question-on-the-zeros-of-fourier-transforms

MELLIN TRANSFORM IN WEAK FUNCTIONS AND MÜNTS FORMULA: Mellin transform in weak functions and Müntz formula

Autoři: Peizhu Luo Xiaqi Ding

Zdroj: Acta Mathematica Scientia. 23:413-418

Témata: Representations of entire functions of one complex variable by series and integrals, \(\zeta (s)\) and \(L(s, \chi)\), Müntz formula, Hurwitz and Lerch zeta functions, 0101 mathematics, Mellin transforms, 01 natural sciences, Riemann zeta-function

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/pii/S0252960217303508
https://api.elsevier.com/content/article/PII:S0252960217303508?httpAccept=text/xml
http://linkinghub.elsevier.com/retrieve/pii/S0252960217303508

The double gamma function and related Pick functions: The double gamma function and related Pick functions.

Autoři: Henrik L. Pedersen

Zdroj: Journal of Computational and Applied Mathematics. 153:361-369

Témata: Pick function, Asymptotic representations in the complex plane, Computational Mathematics, Double gamma function, Representations of entire functions of one complex variable by series and integrals, Applied Mathematics, Special classes of entire functions of one complex variable and growth estimates, Integral representation, 0101 mathematics, Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane, Gamma, beta and polygamma functions, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://www.sciencedirect.com/science/article/abs/pii/S0377042702006040
https://www.sciencedirect.com/science/article/pii/S0377042702006040
http://ui.adsabs.harvard.edu/abs/2003JCoAM.153..361L/abstract

Infinite order differential operators in spaces of entire functions: Infinite order differential operators in spaces of entire functions.

Autoři: Kozitsky, Yu. Oleszczuk, P. Wolowski, L.

Zdroj: Journal of Mathematical Analysis and Applications. 277:423-437

Témata: math.CV, math.FA, PDEs of infinite order, Laguerre entire functions, Nonpositive zeros, 01 natural sciences, Fréchet spaces, 47E05, 46E10, 34M05, 30D15, 0103 physical sciences, FOS: Mathematics, Boundary value problems in the complex plane, Complex Variables (math.CV), 0101 mathematics, Cauchy problem, Representations of entire functions of one complex variable by series and integrals, Mathematics - Complex Variables, Applied Mathematics, Exponential type entire functions, Functional Analysis (math.FA), Mathematics - Functional Analysis, Integral representation, Analysis

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/math/0311213
https://zbmath.org/1901845
https://doi.org/10.1016/s0022-247x(02)00448-1
https://www.sciencedirect.com/science/article/pii/S0022247X02004481#!
https://escholarship.org/uc/item/9mp6s0r2
https://www.sciencedirect.com/science/article/pii/S0022247X02004481
https://www.sciencedirect.com/science/article/abs/pii/S0022247X02004481
https://escholarship.org/uc/item/9mp6s0r2

An Entire Function Defined by a Nonlinear Recurrence Relation: An entire function defined by a nonlinear recurrence relation

Autoři: Hone, A. N. W. Joshi, N. Kitaev, A. V.

Zdroj: Journal of the London Mathematical Society. 66:377-387

Témata: Representations of entire functions of one complex variable by series and integrals, 4. Education, 0103 physical sciences, 0101 mathematics, Asymptotic expansions of solutions to ordinary differential equations, 16. Peace & justice, 01 natural sciences, Additive difference equations

Popis souboru: application/xml

Přístupová URL adresa: https://www.cambridge.org/core/journals/journal-of-the-london-mathematical-society/article/an-entire-function-defined-by-a-nonlinear-recurrence-relation/85A4666585D36111CA328E8433943335
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024610702003423
http://doi.wiley.com/10.1112/S0024610702003423
https://academic.oup.com/jlms/article-pdf/66/2/377/2716592/66-2-377.pdf