Suchergebnisse - Applications of basic hypergeometric functions*
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Applications of Basic Hypergeometric Functions
ISSN: 0036-1445, 1095-7200Veröffentlicht: Philadelphia The Society for Industrial and Applied Mathematics 01.10.1974Veröffentlicht in SIAM review (01.10.1974)“… This paper surveys recent applications of basic hypergeometric functions to partitions, number theory, finite vector spaces, combinatorial identities …”
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Hypergeometric generating functions for values of Dirichlet and other L functions
ISSN: 0027-8424Veröffentlicht: United States 10.06.2003Veröffentlicht in Proceedings of the National Academy of Sciences - PNAS (10.06.2003)“… Soc, Providence, RI); (1975) Problems and Prospects for Basic Hypergeometric Series …”
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Some identities of certain basic hypergeometric series and their applications to mock theta functions
ISSN: 0019-5588, 0975-7465Veröffentlicht: New Delhi Indian National Science Academy 01.12.2023Veröffentlicht in Indian journal of pure and applied mathematics (01.12.2023)“… In this paper, we first obtain the corresponding transformation formulas of the basic bilateral hypergeometric series involving universal mock theta functions …”
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Certain Investigations in the Field of Basic Hypergeometric Functions and Their Applications
ISBN: 0438910451, 9780438910454Veröffentlicht: ProQuest Dissertations & Theses 01.01.2010Volltext
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A Study of Basic-Hypergeometric Functions and Their Applications
ISBN: 9780355903133, 035590313XVeröffentlicht: ProQuest Dissertations & Theses 01.01.2002“… Basic hypergeometric series have assumed great importance during the last four decades or so because of their applications in diverse fields, like additive number theory, combinatorial analysis …”
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Certain Investigations in the Field of Basic-Hypergeometric Functions and Their Applications
ISBN: 9780355903201, 0355903202Veröffentlicht: ProQuest Dissertations & Theses 01.01.2003Volltext
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Representation theory and mathematical physics : conference in honor of Gregg Zuckerman's 60th birthday, October 24-27, 2009, Yale University
ISBN: 0821852469, 9780821852460Veröffentlicht: Providence, R.I American Mathematical Society 2011“… This volume contains the proceedings of the conference on Representation Theory and Mathematical Physics, in honor of Gregg Zuckerman's 60th birthday, held …”
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Branched Continued Fraction Expansions of Horn’s Hypergeometric Function H3 Ratios
ISSN: 2227-7390, 2227-7390Veröffentlicht: Basel MDPI AG 01.01.2021Veröffentlicht in Mathematics (Basel) (01.01.2021)“… We give some recurrence relations of Horn hypergeometric functions H3. By these relations the branched continued fraction expansions …”
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Physics and Combinatorics: Proceedings of the Nagoya 1999 International Workshop, Nagoya University, Japan, 23-27 August 1999
ISBN: 9810245785, 9789810245788Veröffentlicht: World Scientific Publishing 02.04.2001“… Among the contributed papers are articles on: (i) multiple basic hypergeometric functions with applications to the number theory, (ii …”
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Geometric properties of basic hypergeometric functions
ISSN: 1023-6198, 1563-5120Veröffentlicht: Abingdon Taylor & Francis 02.11.2014Veröffentlicht in Journal of difference equations and applications (02.11.2014)“… In this article, we consider basic hypergeometric functions introduced by Heine. We study the mapping properties of certain ratios of basic hypergeometric …”
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An impact of ternary nanofluid on a micropolar fluid with inclined MHD, slip flow and heat transfer
ISSN: 0961-5539, 0961-5539, 1758-6585Veröffentlicht: Bradford Emerald Publishing Limited 14.05.2024Veröffentlicht in International journal of numerical methods for heat & fluid flow (14.05.2024)“… Purpose The purpose of this study is to analyze the impact of inclined magnetohydrodynamics (MHD) and thermal radiation on the flow of a ternary micropolar …”
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A General Family of q-Hypergeometric Polynomials and Associated Generating Functions
ISSN: 2227-7390, 2227-7390Veröffentlicht: Basel MDPI AG 01.06.2021Veröffentlicht in Mathematics (Basel) (01.06.2021)“… Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q …”
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The derivative operator and harmonic number identities
ISSN: 1382-4090, 1572-9303Veröffentlicht: Boston Springer US 01.08.2014Veröffentlicht in The Ramanujan journal (01.08.2014)“… (see Theorem 4 in Theory and Application for Basic Hypergeometric Functions, pp. 191–224, Academic Press, New York, 1975 …”
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Connection coefficients for basic Harish-Chandra series
ISSN: 0001-8708, 1090-2082Veröffentlicht: Elsevier Inc 15.01.2014Veröffentlicht in Advances in mathematics (New York. 1965) (15.01.2014)“… –Baxter and reflection equations. Applications to quantum c-functions, basic hypergeometric functions, reflectionless difference operators and multivariable Baker …”
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Contiguous relations of hypergeometric series
ISSN: 0377-0427, 1879-1778Veröffentlicht: Amsterdam Elsevier B.V 01.04.2003Veröffentlicht in Journal of computational and applied mathematics (01.04.2003)“… We also discuss contiguous relations of generalized and basic hypergeometric functions, and several applications of them …”
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G-continued fractions for basic hypergeometric functions II
ISSN: 0022-247X, 1096-0813Veröffentlicht: San Diego, CA Elsevier Inc 15.08.2003Veröffentlicht in Journal of mathematical analysis and applications (15.08.2003)“… In this paper we apply a modification of a generalized Pringsheim's theorem to obtain a G-continued fraction expansion for the quotient of two contiguous basic hypergeometric functions in arbitrarily many variables …”
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The q-derivative and differential equation
ISSN: 1742-6588, 1742-6596Veröffentlicht: Bristol IOP Publishing 01.11.2019Veröffentlicht in Journal of physics. Conference series (01.11.2019)“… , combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics …”
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G-Continued Fractions for Basic Hypergeometric Functions
ISSN: 0022-247X, 1096-0813Veröffentlicht: San Diego, CA Elsevier Inc 15.03.2000Veröffentlicht in Journal of mathematical analysis and applications (15.03.2000)Volltext
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Algebraic and analytic aspects of integrable systems and painlevé equations : AMS special session, algebraic and analytic aspects of integrable systems and painlevé equations, January 18, 2014, Baltimore, Maryland
ISBN: 1470416549, 9781470416546Veröffentlicht: Providence, R.I American Mathematical Society 2015Volltext
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Addition Theorems Via Continued Fractions
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 23.12.2007Veröffentlicht in arXiv.org (23.12.2007)“… We also derive several additions theorems for basic hypergeometric functions. Applications to the evaluation of Hankel determinants are also given …”
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