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

Συγγραφείς: Pérez-Marco, Ricardo

Συνεισφορές: Pérez-Marco, Ricardo

Πηγή: Constructive Approximation. 61:413-443

Θεματικοί όροι: 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]

Περιγραφή αρχείου: application/xml; application/pdf

Σύνδεσμος πρόσβασης: 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

Extension of Turán-type inequalities for polar derivatives of polynomials into integral mean version

Συγγραφείς: Chanam, Barchand

Πηγή: Publications de l'Institut Mathematique. 116:75-85

Θεματικοί όροι: polar derivative, polynomials, Polynomials and rational functions of one complex variable, Turán type inequalities, Special classes of entire functions of one complex variable and growth estimates, Inequalities in the complex plane, \(L^r\)-norm inequalities

Περιγραφή αρχείου: application/xml

Entire functions sharing two small functions with their difference operators

Συγγραφείς: Majumder, Sujoy, Sarkar, Nabadwip

Πηγή: ANNALI DELL'UNIVERSITA' DI FERRARA. 70:249-271

Θεματικοί όροι: uniqueness, Special classes of entire functions of one complex variable and growth estimates, Strong solutions to PDEs, entire functions of finite order, sharing values

Περιγραφή αρχείου: application/xml

Two problems on random analytic functions in Fock spaces

Συγγραφείς: Xiang Fang, Pham Trong Tien

Πηγή: Canadian Journal of Mathematics. 75:1176-1198

Θεματικοί όροι: Random power series in one complex variable, mixed-norm space, Bergman spaces and Fock spaces, Special classes of entire functions of one complex variable and growth estimates, random analytic functions, Fock spaces, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

A growth aspect of entire functions of infinite order

Συγγραφείς: Singh, J. P.

Πηγή: Publicationes Mathematicae Debrecen. 23:249-253

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3460633

Logarithmic mean function of entire functions defined by Dirichlet series

Συγγραφείς: Gupta, J. S., Singh, Manjit

Πηγή: Publicationes Mathematicae Debrecen. 20:13-19

Θεματικοί όροι: 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

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3450563

Growth of geometric means of an entire function

Συγγραφείς: Singh, J. P.

Πηγή: Publicationes Mathematicae Debrecen. 21:161-169

Θεματικοί όροι: Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3480936

On entire functions of slow growth

Συγγραφείς: Bundschuh, P.

Πηγή: Publicationes Mathematicae Debrecen. 27:17-24

Θεματικοί όροι: interpolation series, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, entire functions of slow growth, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/3719467

Interpolation of entire functions on regular sparse sets and q-Taylor series: Interpolation of entire functions on regular sparse sets and \(q\)-Taylor series

Συγγραφείς: Michael Welter

Πηγή: Journal de théorie des nombres de Bordeaux. 17:397-404

Θεματικοί όροι: Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-calculus and related topics, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, Moment problems and interpolation problems in the complex plane, 01 natural sciences, Interpolation in approximation theory

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: http://www.numdam.org/item/10.5802/jtnb.497.pdf
https://zbmath.org/2205452
https://doi.org/10.5802/jtnb.497
https://www.math.uni-bonn.de/people/welter/JTNB_2005__17_1_397_0.pdf
https://eudml.org/doc/249438
http://almira.math.u-bordeaux.fr/jtnb/2005-1/pages397-404.pdf

Radial distribution of zeros of entire functions and sections of their power series

Συγγραφείς: Hamdan, May F., Abi-Khuzam, Faruk F.

Θεματικοί όροι: Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Special classes of entire functions of one complex variable and growth estimates, sections of Taylor series, zero distribution

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2208338

Permissible growth rates for Birkhoff type universal harmonic functions

Συγγραφείς: Armitage, David

Πηγή: Journal of Approximation Theory. 136:230-243

Θεματικοί όροι: Translation, Mathematics(all), Numerical Analysis, Applied Mathematics, name=Analysis, Harmonic, Density, name=Applied Mathematics, Special classes of entire functions of one complex variable and growth estimates, Growth, name=Numerical Analysis, 01 natural sciences, Harmonic, subharmonic, superharmonic functions in higher dimensions, name=General Mathematics, harmonic function, universal function, growth rate, 0101 mathematics, Universal, Analysis

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Σύνδεσμος πρόσβασης: https://dblp.uni-trier.de/db/journals/jat/jat136.html#Armitage05
https://pure.qub.ac.uk/portal/en/publications/permissible-growth-rates-for-birkhoff-type-universal-harmonic-functions(eebc45e3-9644-4cf6-9aa3-49eab3b33d0c).html
https://dialnet.unirioja.es/servlet/articulo?codigo=1276620
https://pure.qub.ac.uk/en/publications/permissible-growth-rates-for-birkhoff-type-universal-harmonic-fun
https://core.ac.uk/display/82279755
https://www.sciencedirect.com/science/article/pii/S0021904505001383

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

Συγγραφείς: Erik Andersson

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

Θεματικοί όροι: 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

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Σύνδεσμος πρόσβασης: 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

Asymptotic Behavior of the Sum of the Dirichlet Series of Prescribed Growth on Curves: Asymptotic behavior of the sum of the Dirichlet series of prescribed growth on curves

Συγγραφείς: A. M. Gaisin, I. D. Latypov

Πηγή: Mathematical Notes. 78:33-46

Θεματικοί όροι: entire function, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, 0102 computer and information sciences, Dirichlet series, 0101 mathematics, order in the Ritt sense, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2239719
https://doi.org/10.1007/s11006-005-0096-x
https://rd.springer.com/article/10.1007%2Fs11006-005-0096-x
https://link.springer.com/article/10.1007/s11006-005-0096-x

A new class of integer-valued entire functions

Συγγραφείς: Michael Welter

Πηγή: Journal für die reine und angewandte Mathematik (Crelles Journal). 2005:175-192

Θεματικοί όροι: Transcendence (general theory), Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://www.degruyter.com/view/j/crll.2005.2005.issue-583/crll.2005.2005.583.175/crll.2005.2005.583.175.xml

On an Asymptotic Equality Between the Minimum and the Maximum of δ-Subharmonic Functions of Zero Genus: On an asymptotic equality between the minimum and the maximum of \(\delta\)-subharmonic functions of zero genus

Συγγραφείς: Igor Chyzhykov, Oleh Skaskiv

Πηγή: Computational Methods and Function Theory. 4:447-460

Θεματικοί όροι: Riesz charge, \(\delta\)-subharmonic functions of zero genus, Riesz measures, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, Harmonic, subharmonic, superharmonic functions in two dimensions, 01 natural sciences

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2186790
https://doi.org/10.1007/bf03321080
https://link.springer.com/article/10.1007/BF03321080

A Carleman-Nevanlinna Theorem and Summation of the Riemann Zeta-Function Logarithm: A Carleman-Nevanlinna theorem and summation of the Riemann zeta-function logarithm

Συγγραφείς: Andriy A. Kondratyuk

Πηγή: Computational Methods and Function Theory. 4:391-403

Θεματικοί όροι: Carleman-Nevanlinna theorem, summation, \(\zeta (s)\) and \(L(s, \chi)\), meromorphic function, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences, Euler product, Riemann zeta-function, Riemann hypothesis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2186786
https://doi.org/10.1007/bf03321076
https://link.springer.com/article/10.1007%2FBF03321076

Spectral synthesis for the intersection of invariant subspaces of holomorphic functions: Spectral synthesis for the intersection of invariant subspaces of holomorphic functions.

Συγγραφείς: Bulat N. Khabibullin

Πηγή: Sbornik: Mathematics. 196:423-445

Θεματικοί όροι: spectral synthesis, Invariant subspaces of linear operators, differentiation invariant subspaces, holomorphic functions, Spaces of bounded analytic functions of one complex variable, Special classes of entire functions of one complex variable and growth estimates, Topological linear spaces of continuous, differentiable or analytic functions, 0101 mathematics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/2210567
https://doi.org/10.1070/sm2005v196n03abeh000886
http://ui.adsabs.harvard.edu/abs/2005SbMat.196..423K/abstract

Interpolation of functions from generalized Paley–Wiener spaces: Interpolation of functions from generalized Paley--Wiener spaces

Συγγραφείς: W. R. Madych, Yu. Lyubarskii

Πηγή: Journal of Approximation Theory. 133:251-268

Θεματικοί όροι: Mathematics(all), Numerical Analysis, Applied Mathematics, Special classes of entire functions of one complex variable and growth estimates, 02 engineering and technology, 01 natural sciences, generalized Paley-Wiener space, interpolation, Paley—Wiener spaces, Banach spaces of continuous, differentiable or analytic functions, 0202 electrical engineering, electronic engineering, information engineering, Complete interpolating sequences, ∂¯ problem, Divided differences, 0101 mathematics, Analysis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2160167
https://doi.org/10.1016/j.jat.2004.12.014
https://dblp.uni-trier.de/db/journals/jat/jat133.html#LyubarskiiM05
https://dialnet.unirioja.es/servlet/articulo?codigo=1361828
https://www.sciencedirect.com/science/article/pii/S0021904505000031
https://core.ac.uk/display/82180251

Almost strict total positivity and a class of Hurwitz polynomials

Συγγραφείς: Dimitrov, D. K., Pena, J. M.

Συνεισφορές: Universidade Estadual Paulista (UNESP)

Πηγή: Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP

Θεματικοί όροι: Mathematics(all), Numerical Analysis, Entire function in the Laguerre–Pólya class, Totally positive matrix, Applied Mathematics, Inequalities involving derivatives and differential and integral operators, Special classes of entire functions of one complex variable and growth estimates, strictly totally positive matrix, 01 natural sciences, Hurwitz polynomial, Positive matrices and their generalizations, cones of matrices, Strictly totally positive matrix, totally positive matrix, shadows' lemma, entire function in the Laguerre-Polya class, Hurwitz stable polynomial, 0101 mathematics, Laguerre-Pólya class, Shadows' lemma, Analysis

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Σύνδεσμος πρόσβασης: https://zbmath.org/2165383
https://doi.org/10.1016/j.jat.2004.10.010

BINOMIAL SUMS AND FUNCTIONS OF EXPONENTIAL TYPE: Binomial sums and functions of exponential type

Συγγραφείς: Javad Mashreghi, Thomas Ransford

Πηγή: Bulletin of the London Mathematical Society. 37:15-24

Θεματικοί όροι: Inequalities, stochastic orderings, Phragmén Lindelöf theorem, Special classes of entire functions of one complex variable and growth estimates, General theory of topological algebras, 0101 mathematics, Factorials, binomial coefficients, combinatorial functions, 01 natural sciences, sequence of complex numbers, Poisson random variable

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/2162699
https://doi.org/10.1112/s0024609304003625
https://academic.oup.com/blms/article/37/1/15/280984
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0024609304003625
https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/S0024609304003625
https://www.cambridge.org/core/journals/bulletin-of-the-london-mathematical-society/article/binomial-sums-and-functions-of-exponential-type/DC194D1D38D61ACABF0BB44D97CD2188