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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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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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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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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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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Bounded Littlewood identities
ISBN: 1470446901, 9781470446901ISSN: 0065-9266, 1947-6221Veröffentlicht: Providence, Rhode Island American Mathematical Society 2021“… We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for proving bounded Littlewood identities …”
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A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions
ISSN: 2073-8994, 2073-8994Veröffentlicht: 01.11.2020Veröffentlicht in Symmetry (Basel) (01.11.2020)“… -) polynomials, especially the basic (or q-) hypergeometric functions and basic (or q-) hypergeometric polynomials, in many diverse areas …”
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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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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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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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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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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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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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Hypergeometry, integrability and lie theory : Virtual Conference Hypergeometry, Integrability and Lie Theory, December 7-11, 2020, Lorentz Center, Leiden, the Netherlands
ISBN: 9781470465209, 1470465205Veröffentlicht: Providence, R.I. American Mathematical Society 2022Volltext
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Bounds for q-integrals of ... with applications
ISSN: 1029-242XVeröffentlicht: 01.12.2015Veröffentlicht in Journal of inequalities and applications (01.12.2015)“… (ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).In this paper, we establish an inequality for the q-integral of the bilateral basic hypergeometric function …”
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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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Factorization of Basic Hypergeometric Series
ISSN: 1815-0659, 1815-0659Veröffentlicht: 01.01.2025Veröffentlicht in Symmetry, integrability and geometry, methods and applications (01.01.2025)“… The general problem of the factorization of a basic hypergeometric series is presented and discussed …”
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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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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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On basic Horn hypergeometric functions H3 and H4
ISSN: 1687-1839, 1687-1847Veröffentlicht: Cham Springer International Publishing 01.12.2020Veröffentlicht in Advances in difference equations (01.12.2020)“… The purpose of this work is to demonstrate several interesting contiguous function relations and q -differential formulas for basic Horn hypergeometric functions H 3 and H 4 …”
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