Search Results - Representations of entire functions of one complex variable by series and integrals

Logarithmic mean function of entire functions defined by Dirichlet series

Authors: Gupta, J. S. Singh, Manjit

Source: Publicationes Mathematicae Debrecen. 20:13-19

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/3450563

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

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

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

Subject Terms: 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

File Description: application/xml

Access 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

Authors: Pérez-Marco, Ricardo

Contributors: Pérez-Marco, Ricardo

Source: Constructive Approximation. 61:413-443

Subject Terms: 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]

File Description: application/xml; application/pdf

Access 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

Authors: Singh, J. P.

Source: Publicationes Mathematicae Debrecen. 23:249-253

Subject Terms: 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

File Description: application/xml

Access URL: https://zbmath.org/3460633

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

Authors: Abian, Alexander

Source: Publicationes Mathematicae Debrecen. 30:129-131

Subject Terms: 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

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Access URL: https://zbmath.org/3867670

Extension of entire functions of completely regular growth and right inverse to the operator of representation of analytic functions by quasipolynomial series

Authors: S N Melikhov

Source: Sbornik: Mathematics. 191:1049-1073

Subject Terms: Representations of entire functions of one complex variable by series and integrals, 0101 mathematics, 01 natural sciences

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Access URL: http://ui.adsabs.harvard.edu/abs/2000SbMat.191.1049M/abstract

Integral representation of entire functions and differential operators of infinite order

Authors: O V Odinokov

Source: Izvestiya: Mathematics. 59:839-846

Subject Terms: Representations of entire functions of one complex variable by series and integrals, spaces of entire functions, ultradistributions, Entire functions of several complex variables, PDEs of infinite order, integral representation, 01 natural sciences, exponential type, Laplace operator, factorization, differential operators, 0103 physical sciences, Integral representations, canonical kernels (Szegő, Bergman, etc.), 0101 mathematics

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Access URL: http://iopscience.iop.org/article/10.1070/IM1995v059n04ABEH000036/pdf
http://ui.adsabs.harvard.edu/abs/1995IzMat..59..839O/abstract

Representation formulas for entire functions of exponential type and generalized bernoulli polynomials: Representation formulas for entire functions of exponential type and generalized Bernoulli polynomials

Authors: C. Frappier

Source: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 64:307-316

Subject Terms: Bessel functions, Representations of entire functions of one complex variable by series and integrals, Bernoulli polynomials, Bessel and Airy functions, cylinder functions, \({}_0F_1\), Special polynomials in general fields, 0101 mathematics, 01 natural sciences, entire functions of exponential type

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Access URL: https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5B8ACB64CAE6F2752300762E64F9C144/S1446788700039185a.pdf/div-class-title-representation-formulas-for-entire-functions-of-exponential-type-and-generalized-bernoulli-polynomials-div.pdf
https://zbmath.org/1208813
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/representation-formulas-for-entire-functions-of-exponential-type-and-generalized-bernoulli-polynomials/5B8ACB64CAE6F2752300762E64F9C144
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/5B8ACB64CAE6F2752300762E64F9C144/S1446788700039185a.pdf/div-class-title-representation-formulas-for-entire-functions-of-exponential-type-and-generalized-bernoulli-polynomials-div.pdf
http://journals.cambridge.org/abstract_S1446788700039185
https://publications.polymtl.ca/29684/
https://doi.org/10.1017/s1446788700039185

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

Authors: Ajayi Adepoju, Jerome Mogbademu, Adesanmi Alao

Source: 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

Subject Terms: 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

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

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

Expansion of entire functions into Lagrange series

Authors: Yu. N. Frolov

Source: Mathematical Notes. 61:100-104

Subject Terms: Representations of entire functions of one complex variable by series and integrals, Banach spaces of continuous, differentiable or analytic functions, entire function, 0101 mathematics, Series expansions (e.g., Taylor, Lidstone series, but not Fourier series), Lagrange series, 01 natural sciences

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Access URL: https://link.springer.com/article/10.1007/BF02355011

The growth of one class of entire functions

Authors: M. N. Sheremeta

Source: Journal of Mathematical Sciences. 85:2235-2238

Subject Terms: Representations of entire functions of one complex variable by series and integrals, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/609857
https://link.springer.com/content/pdf/10.1007%2FBF02355775.pdf
https://link.springer.com/article/10.1007/BF02355775

Behavior on the real line of entire functions represented by Dirichlet series

Authors: B. V. Vinnitskii V. M. Sorokivskii

Source: Ukrainian Mathematical Journal. 43:234-238

Subject Terms: Representations of entire functions of one complex variable by series and integrals, Ritt order, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, Dirichlet series

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Access URL: https://zbmath.org/10849
https://doi.org/10.1007/bf01060513
https://link.springer.com/content/pdf/10.1007/BF01060513.pdf
https://link.springer.com/article/10.1007/BF01060513

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

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

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

Subject Terms: 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

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Access 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

Sampling Theorem for Entire Functions of Exponential Growth: Sampling theorem for entire functions of exponential growth

Authors: Soon-Yeong Chung Dohan Kim Jaeyoung Chung

Source: Journal of Mathematical Analysis and Applications. 265:217-228

Subject Terms: sampling theorem, Coding theorems (Shannon theory), Representations of entire functions of one complex variable by series and integrals, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, heat equation, Applied Mathematics, entire function, exponential growth, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences, Shannon theorem, Analysis

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Access URL: https://zbmath.org/1716529
https://doi.org/10.1006/jmaa.2001.7727
https://core.ac.uk/display/82242847
https://www.sciencedirect.com/science/article/abs/pii/S0022247X01977273
https://www.sciencedirect.com/science/article/pii/S0022247X01977273

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

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

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

Subject Terms: 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

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/BF03321852

A Generalization of the Laguerre–Pólya Class of Entire Functions: A generalization of the Laguerre-Pólya class of entire functions

Authors: Suárez, D.

Source: J. Approx. Theory 1999;101(1):37-48
Biblioteca Digital (UBA-FCEN)
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN

Subject Terms: Mathematics(all), Numerical Analysis, approximations, 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), Polynomials and rational functions of one complex variable, Applied Mathematics, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, Laguerre-Pólya class, 01 natural sciences, Analysis, entire functions

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/1389108
https://doi.org/10.1006/jath.1999.3355
https://core.ac.uk/display/82738381
https://www.sciencedirect.com/science/article/pii/S0021904599933555
http://hdl.handle.net/20.500.12110/paper_00219045_v101_n1_p37_Suarez

Asymptotic Behavior of Entire Functions with Exceptional Values in the Borel Relation: Asymptotic behavior of entire functions with exceptional values in the Borel relation

Authors: P. V. Filevych

Source: Ukrainian Mathematical Journal. 53:595-605

Subject Terms: Representations of entire functions of one complex variable by series and integrals, entire function, order of relation, Special classes of entire functions of one complex variable and growth estimates, asymptotic behavior, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/1646178
https://doi.org/10.1023/a:1012378721807
https://link.springer.com/article/10.1023/A:1012378721807

An Exact Estimate for the Measure of the Exceptional Set in the Borel Relation for Entire Functions: An exact estimate for the measure of the exceptional set in the Borel relation for entire functions

Authors: P. V. Filevich

Source: Ukrainian Mathematical Journal. 53:328-332

Subject Terms: Representations of entire functions of one complex variable by series and integrals, Special classes of entire functions of one complex variable and growth estimates, Borel relation, exceptional set, 0101 mathematics, 01 natural sciences, entire functions

File Description: application/xml

Access URL: https://zbmath.org/1646165
https://doi.org/10.1023/a:1012378721807
https://link.springer.com/article/10.1023/A:1010489609188
https://link.springer.com/content/pdf/10.1023/A:1010489609188.pdf

Bornological spaces of entire functions represented by Dirichlet series having slow growth

Authors: Shaker, Mushtaq Srivastava, G.

Source: Volume: 60, Issue: 0 19-32
İstanbul University Science Faculty The Journal Of Mathematics Physics and Astronomy
İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy

Subject Terms: Representations of entire functions of one complex variable by series and integrals, Representations of entire functions 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, Topological linear spaces of continuous, differentiable or analytic functions

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/2202119
https://dergipark.org.tr/tr/pub/iusfjm/issue/9448/118215

conjectures and theorems in the theory of entire functions: Conjectures and theorems in the theory of entire functions

Authors: Csordas, G. Dimitrov, D. K. Universidade Estadual Paulista (UNESP)

Contributors: Csordas, G. Dimitrov, D. K. Universidade Estadual Paulista (UNESP)

Source: Numerical Algorithms. 25(1):109-122

Subject Terms: Karlin's conjecture, Riemann \(\zeta\)-function, Representations of entire functions of one complex variable by series and integrals, de Bruijn-Newman constant, moment inequalities, Turan inequalities, Special classes of entire functions of one complex variable and growth estimates, Convexity of real functions in one variable, generalizations, General theory of numerical methods in complex analysis (potential theory, etc.), admissible kernel, inequalities, Fourier transform, double Turan inequalities, Laguerre-Polya class, Laguerre-Pólya class, Riemann hypothesis, entire functions

File Description: application/xml

Access URL: https://zbmath.org/1606669
https://doi.org/10.1023/a:1016604906346
https://ui.adsabs.harvard.edu/abs/2000NuAlg..25..109C/abstract
https://repositorio.unesp.br/handle/11449/36905
https://dblp.uni-trier.de/db/journals/na/na25.html#CsordasD00
https://www.dcce.ibilce.unesp.br/~dimitrov/papers/vargana.pdf
http://www.dcce.ibilce.unesp.br/~dimitrov/papers/vargana.pdf
http://repositorio.unesp.br/handle/11449/36905