Suchergebnisse - Gauss and basic hypergeometric functions

A Note on Wright-type Generalized q-hypergeometric Function

Autoren: K. K. Chaudhary S. B. Rao

Quelle: Известия Иркутского государственного университета: Серия "Математика", Vol 48, Iss 1, Pp 80-94 (2024)

Schlagwörter: q-calculus and related topics, basic hypergeometric functions in one variable ${}_r \phi_s$, QA1-939, q-beta functions and integrals, q-gamma functions, Mathematics

Solar structure in terms of Gauss' hypergeometric function

Autoren: Arak M. Mathai Hans J. Haubold

Quelle: Astrophysics and Space Science. 228:77-86

Schlagwörter: nonlinear distribution of density, Astrophysics (astro-ph), FOS: Physical sciences, Gas dynamics (general theory), hydrostatic equilibrium equation, Astrophysics, pressure distribution, 7. Clean energy, 01 natural sciences, nuclear energy generation, temperature distribution, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Mathematics - Classical Analysis and ODEs, 0103 physical sciences, Galactic and stellar structure, Classical Analysis and ODEs (math.CA), FOS: Mathematics, perfect gas, 0101 mathematics

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/pdf/astro-ph/9502022
http://arxiv.org/abs/math/9502229
http://arxiv.org/abs/astro-ph/9502022
https://link.springer.com/article/10.1007/BF00984968
https://www.arxiv-vanity.com/papers/astro-ph/9502022/
http://ui.adsabs.harvard.edu/abs/1995Ap&SS.228...77H/abstract
https://arxiv.org/abs/math/9502229
https://arxiv.org/pdf/math/9502229

Inequalities for Basic Special Functions Using Hölder Inequality

Autoren: Mohammad Masjed-Jamei Zahra Moalemi Nasser Saad

Quelle: Mathematics, Vol 12, Iss 19, p 3037 (2024)

Schlagwörter: Hölder inequality, gamma and beta functions, Gauss and confluent hypergeometric functions, Riemann zeta function, Mathematics, QA1-939

Dateibeschreibung: electronic resource

Relation: https://www.mdpi.com/2227-7390/12/19/3037; https://doaj.org/toc/2227-7390

Zugangs-URL: https://doaj.org/article/1f5cb06ec75f431e986ac0ddaa349409

Euler transformation formula for multiple basic hypergeometric series of type A and some applications: Euler transformation formula for multiple basic hypergeometric series of type \(A\) and some applications

Autoren: Yasushi Kajihara

Quelle: Advances in Mathematics. 187:53-97

Schlagwörter: Mathematics(all), Heine transformation, Pfaff-Saalschütz summation formula, Hypergeometric functions associated with root systems, Multiple basic hypergeometric series of type A, Gauß summation formula, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Watson type transformation, Pfaff–Saalschutz summation, basic hypergeometric series associated to root systems, Euler transformation, Macdonald polynomials, 0101 mathematics, Bailey–Jackson type transformation–summation formula, Bailey's transformation formula, Basic hypergeometric functions associated with root systems, Watson's transformation formula

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2093004
https://doi.org/10.1016/j.aim.2003.08.012
https://dialnet.unirioja.es/servlet/articulo?codigo=928457
https://www.sciencedirect.com/science/article/pii/S0001870803002603
https://core.ac.uk/display/82561434
https://www.infona.pl/resource/bwmeta1.element.elsevier-6c111077-163f-3382-9c84-c08a24fcdd85
https://www.sciencedirect.com/science/article/abs/pii/S0001870803002603

Some Basic Extensions of Gustafson-Rakha's Multivariate Basic Hypergeometric Series: Some basic extensions of Gustafson-Rakha's multivariate basic hypergeometric series

Autoren: Medhat A. Rakha

Quelle: Annals of Combinatorics. 6:107-115

Schlagwörter: hypergeometric series very well poised on Lie algebras, Basic hypergeometric functions in one variable, \({}_r\phi_s\), basic Jackson's sum, \(q\)-series, basic hypergeometric series, \(q\)-beta integrals, 0101 mathematics, basic Gauss' sum, integral transformation, 01 natural sciences, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Basic hypergeometric functions associated with root systems

Dateibeschreibung: application/xml

Zugangs-URL: https://link.springer.com/article/10.1007%2Fs00026-002-8035-y

The foundational aspects of Gauss's work on the hypergeometric, factorial and digamma functions

Autoren: Ferraro, Giovanni

Quelle: Archive for History of Exact Sciences, 2007 Sep 01. 61(5), 457-518.

Zugangs-URL: https://www.jstor.org/stable/41134263

Basic hypergeometric formulas and identities for negative degree q -Bernstein bases

Autoren: Tuncer, O. Oğulcan Simeonov, Plamen Goldman, Ron

Quelle: Filomat, 2024 Jan 01. 38(8), 2941-2948.

Zugangs-URL: https://www.jstor.org/stable/27387165

On the Fourier - Gauss transforms of someq-exponential andq-trigonometric functions: On the Fourier-Gauss transforms of some \(q\)-exponential and \(q\)-trigonometric functions

Autoren: Natig M. Atakishiyev

Quelle: Journal of Physics A: Mathematical and General. 29:7177-7181

Schlagwörter: Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-gamma functions, \(q\)-beta functions and integrals, 0103 physical sciences, Fourier-Gauss transformations, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/1161820
https://doi.org/10.1088/0305-4470/29/22/017
http://iopscience.iop.org/article/10.1088/0305-4470/29/22/017/pdf
https://ui.adsabs.harvard.edu/abs/1996JPhA...29.7177A/abstract

A Study To Investigate One-Variable Feyman Diagrams Based On Differential Reduction Of Hypergeometric Functions.

Autoren: Xing Kongduo Midhunchakkaravarthy

Quelle: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5207-5213, 7p

Schlagwörter: MATHEMATICAL transformations, QUANTUM field theory, FEYNMAN integrals, SCATTERING amplitude (Physics), MATHEMATICAL physics

On certain transformations of multiple basic hypergeometric functions

Autoren: Saxena, R. K. Gupta, R. K.

Schlagwörter: basic hypergeometric function, Generalized basic hypergeometric series, Gauss theorem, Other basic hypergeometric functions and integrals in several variables, Basic hypergeometric integrals and functions defined by them, Kampé de Fériet function

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/218892

Bijective proofs of basic hypergeometric series identities

Autoren: Joichi, J. T. Stanton, Dennis

Quelle: Pacific J. Math. 127, no. 1 (1987), 103-120

Schlagwörter: 33A30, Combinatorial aspects of partitions of integers, very well poised evaluations, \(q\)-analogue of Gauss' theorem, Elementary theory of partitions, Heine's transformation, 0102 computer and information sciences, basic hypergeometric identity, 01 natural sciences, \(q\)-analogue of Rummer's theorem, 11P57, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Watson's transformation, \(q\)-binomial theorem, 05A30, 0101 mathematics, \(q\)-analogue of Saalschütz's theorem

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://msp.org/pjm/1987/127-1/pjm-v127-n1-p05-s.pdf
https://zbmath.org/4040308
https://doi.org/10.2140/pjm.1987.127.103
https://projecteuclid.org/download/pdf_1/euclid.pjm/1102699671
https://projecteuclid.org/euclid.pjm/1102699671
https://experts.umn.edu/en/publications/bijective-proofs-of-basic-hypergeometric-series-identities
https://msp.org/pjm/1987/127-1/pjm-v127-n1-p05-s.pdf
https://msp.org/pjm/1987/127-1/p05.xhtml
http://projecteuclid.org/euclid.pjm/1102699671

On a one-parameter family ofq-exponential functions: On a one-parameter family of \(q\)-exponential functions

Autoren: Natig M. Atakishiyev

Quelle: Journal of Physics A: Mathematical and General. 29:L223-L227

Schlagwörter: Basic hypergeometric functions in one variable, \({}_r\phi_s\), 0103 physical sciences, \(q\)-exponential functions, Fourier-Gauss transformation, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: http://iopscience.iop.org/article/10.1088/0305-4470/29/10/001/pdf
http://iopscience.iop.org/article/10.1088/0305-4470/29/10/001
http://ui.adsabs.harvard.edu/abs/1996JPhA...29L.223A/abstract

Contiguous relations, basic hypergeometric functions, and orthogonal polynomials, I: Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. I

Autoren: Carl A Libis Mourad E. H. Ismail

Quelle: Journal of Mathematical Analysis and Applications. 141:349-372

Schlagwörter: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), contiguous relations, basic hypergeometric function, Classical hypergeometric functions, \({}_2F_1\), \(q\)-calculus and related topics, J-fraction, Applied Mathematics, 0101 mathematics, 01 natural sciences, Analysis

Dateibeschreibung: application/xml

Zugangs-URL: http://www.sciencedirect.com/science/article/pii/0022247X89901820
https://www.sciencedirect.com/science/article/pii/0022247X89901820

Combinatorial proofs of Ramanujan's 1ψ1 summation and the q-Gauss summation: Combinatorial proofs of Ramanujan's \(_{1} \psi_{1}\) summation and the \(q\)-Gauss summation.

Autoren: Ae Ja Yee

Quelle: Journal of Combinatorial Theory, Series A. 105:63-77

Schlagwörter: Partitions, congruences and congruential restrictions, Computational Theory and Mathematics, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Discrete Mathematics and Combinatorics, Analytic theory of partitions, Elementary theory of partitions, Frobenius partition, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, \(F\)-partitions, Theoretical Computer Science

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/2055389
https://doi.org/10.1016/j.jcta.2003.10.002

Product formulas for basic hypergeometric series by evaluations of Askey--Wilson polynomials

Autoren: Cohl, Howard Schlosser, Michael

Schlagwörter: Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

Zugangs-URL: http://arxiv.org/abs/2411.03571

A Study To Examine Single-Variable Feyman Diagrams Utilising Differential Reduction Of Hypergeometric Functions.

Autoren: Xing Kongduo Midhunchakkaravarthy

Quelle: Frontiers in Health Informatics; 2024, Vol. 13 Issue 8, p5165-5171, 7p

Schlagwörter: MATHEMATICAL transformations, QUANTUM field theory, FEYNMAN integrals, SCATTERING amplitude (Physics), MATHEMATICAL physics

Utility of integral representations for basic hypergeometric functions and orthogonal polynomials.

Autoren: Cohl, Howard S. Costas-Santos, Roberto S.

Quelle: Ramanujan Journal; Jun2023, Vol. 61 Issue 2, p649-674, 26p

CAUCHY AUGMENTATION FOR BASIC HYPERGEOMETRIC SERIES: Cauchy augmentation for basic hypergeometric series

Autoren: William Y. C. Chen Amy M. Fu

Quelle: Bulletin of the London Mathematical Society. 36:169-175

Schlagwörter: Basic hypergeometric functions in one variable, \({}_r\phi_s\), \(q\)-series identities, \(q\)-calculus and related topics, transformation formulas, basic hypergeometric series, 0101 mathematics, 01 natural sciences

Dateibeschreibung: application/xml

Zugangs-URL: https://www.cambridge.org/core/journals/bulletin-of-the-london-mathematical-society/article/cauchy-augmentation-for-basic-hypergeometric-series/9364FBCFE968440BF4BDC8F37ADAA36F
https://academic.oup.com/blms/article-abstract/36/2/169/273161
http://www.yongchuan.org/papers/cauchy/cauchy.pdf
https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/S0024609303002522
https://dialnet.unirioja.es/servlet/articulo?codigo=797469

Numerically Satisfactory Solutions of Hypergeometric Recursions

Autoren: Gil, Amparo Segura, Javier Temme, Nico M.

Quelle: Mathematics of Computation, 2007 Jul 01. 76(259), 1449-1468.

Zugangs-URL: https://www.jstor.org/stable/40234437

A new identity for the sum of products of the generalized basic hypergeometric functions.

Autoren: Kalmykov, S. I. Karp, D. Kuznetsov, A.

Quelle: Ramanujan Journal; Jun2023, Vol. 61 Issue 2, p391-414, 24p