Suchergebnisse - "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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Pérez-Marco, Ricardo

Weitere Verfasser: Pérez-Marco, Ricardo

Quelle: Constructive Approximation. 61:413-443

Schlagwörter: 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]

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: 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

Autoren: Singh, J. P.

Quelle: Publicationes Mathematicae Debrecen. 23:249-253

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3460633

Logarithmic mean function of entire functions defined by Dirichlet series

Autoren: Gupta, J. S. Singh, Manjit

Quelle: Publicationes Mathematicae Debrecen. 20:13-19

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3450563

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

Autoren: Abian, Alexander

Quelle: Publicationes Mathematicae Debrecen. 30:129-131

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/3867670

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

Autoren: Ajayi Adepoju, Jerome Mogbademu, Adesanmi Alao

Quelle: 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

Schlagwörter: 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

Dateibeschreibung: application/pdf

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

Verfügbarkeit: 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

Autoren: Erik Andersson

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Elias Wegert Lothar von Wolfersdorf

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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.

Autoren: T V Shtepina

Quelle: Izvestiya: Mathematics. 68:1051-1061

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: José L. López Chelo Ferreira

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: V. A. Gorelov

Quelle: Mathematical Notes. 75:513-529

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1023/B%3AMATN.0000023333.36063.12

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

Autoren: Soon-Yeong Chung Chang Eon Shin Dohan Kim

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Haseo Ki Young-One Kim

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Young One Kim Haseo Ki

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

Autoren: Peizhu Luo Xiaqi Ding

Quelle: Acta Mathematica Scientia. 23:413-418

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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.

Autoren: Henrik L. Pedersen

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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.

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: 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