Search Results - Applications of basic hypergeometric functions

Applications of Basic Hypergeometric Functions by Andrews, George E.

“…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 by Zhang, Zhizheng, Song, Hanfei

“…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 by Agrawal, S., Sahoo, S.K.

“…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 by Srivastava, Hari Mohan, Arjika, Sama

“…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 by Siddiqui, Mohammad Nafees

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A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions by Srivastava, Hari M., Cao, Jian, Arjika, Sama

“…-) 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 by Maurya, Om Prakash

“… 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 by Stokman, Jasper V.

“…–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 by Mishra, Bindu Prakash B

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Hypergeometric generating functions for values of Dirichlet and other L functions by Lovejoy, Jeremy, Ono, Ken

“… Soc, Providence, RI); (1975) Problems and Prospects for Basic Hypergeometric Series…”
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G-continued fractions for basic hypergeometric functions II by Bowman, Douglas, Choi, Geumlan

“…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 by VIDUNAS, Raimundas

“… We also discuss contiguous relations of generalized and basic hypergeometric functions, and several applications of them…”
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Bounds for q-integrals of ... with applications by He, Zhefei, Wang, Mingjin, Xi, Gaowen

“…(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 by Akça, Haydar, Benbourenane, Jamal, Eleuch, Hichem

“…, combinatorics, orthogonal polynomials, basic hypergeometric functions, quantum theory, and electronics…”
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Factorization of Basic Hypergeometric Series by Bradley-Thrush, Jonathan G.

“…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 by Dzhamay, Anton, Maruno, Ken'ichi, Ormerod, Christopher M., AMS Special Session on Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations

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G-Continued Fractions for Basic Hypergeometric Functions by Bowman, Douglas, Choi, Geumlan

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On basic Horn hypergeometric functions H3 and H4 by Shehata, Ayman

“…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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Truncated sums for certain restricted partition functions and transformation formulas for basic hypergeometric series by Yao, Olivia X. M.

“… Since then, a series of papers on the subject have followed. In this paper, using some transformation formulas for basic hypergeometric series, we prove several truncated sums for four restricted partitions…”
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Applications of Tannery's theorem to Bailey's ψ66 summation by Bradley-Thrush, J.G.

“… Analogous limiting processes involving ordinary hypergeometric series are considered…”
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