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Identities between q-hypergeometric and hypergeometric integrals of different dimensions
Advances in Mathematics, 2003 Preprint (2003), 14 pages, AmsLaTeX, references ...
V. Tarasov, Alexander Varchenko
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An identity for simplifying certain generalized hypergeometric functions [PDF]
Mathematics of Computation, 1975 In this paper, an identity is proved in which certain generalized hypergeometric functions N P F N Q + N − 1 _{NP}{F_{NQ + N - 1 ...
Thomas J. Osler
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$p$-adic analogues of hypergeometric identities
, 2017 This is a preliminary draft, which maybe contains some mistakes.
Guo-Shuai Mao, Hao Pan
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Some hypergeometric identities [PDF]
Pacific Journal of Mathematics, 1952 J. Niblett
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Rational Hypergeometric Identities [PDF]
Functional Analysis and Its Applications, 2021 6 pages, published ...
Sarkissian, Gor A. +1 more
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A new class of higher order hypergeometric Bernoulli polynomials associated with Hermite polynomials
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we introduce new class of higher order hypergeometric Hermite-Bernoulli numbers and polynomials. We shall provide several properties of higher order hypergeometric Hermite-Bernoulli polynomials including summation formulae, sums of ...
Waseem Ahmad Khan
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, 2017 We present a multi-spin solution to the Yang-Baxter equation. The solution corresponds to the integrable lattice spin model of statistical mechanics with positive Boltzmann weights and parameterized in terms of the basic hypergeometric functions.
Ilmar Gahramanov, Shahriyar Jafarzade
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Combinatorial Identities and Hypergeometric Functions, II [PDF]
Discrete Mathematics LettersHorst Alzer
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A Note on Generalization of Combinatorial Identities Due to Gould and Touchard
Axioms, 2023 Using a hypergeometric series approach, a general combinatorial identity is found in this note, and among its special cases are well-known and classical combinatorial identities due to Gould and Touchard.
Arjun K. Rathie, Dongkyu Lim
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A General Family of q-Hypergeometric Polynomials and Associated Generating Functions
Mathematics, 2021 Basic (or q-) series and basic (or q-) polynomials, especially the basic (or q-) hypergeometric functions and the basic (or q-) hypergeometric polynomials are studied extensively and widely due mainly to their potential for applications in many areas of ...
Hari Mohan Srivastava, Sama Arjika
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