Results 71 to 80 of about 3,647,357 (169)
A NOTE ON TRANSFORMATION FORMULAE FOR BILATERAL BASIC HYPERGEOMETRIC SERIES [PDF]
International Journal of Apllied Mathematics, 2013 Srivastava, Pankaj +3 more
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An asymptotic formula of the divergent bilateral basic hypergeometric series
, 2012 We show an asymptotic formula of the divergent bilateral basic hypergeometric series ${}_1ψ_0 (a;-;q,\cdot)$ with using the $q$-Borel-Laplace method. We also give the limit $q\to 1-0$ of our asymptotic formula.
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k-Hypergeometric Series Solutions to One Type of Non-Homogeneous k-Hypergeometric Equations
, 2019 In this paper, we expound on the hypergeometric series solutions for the second-order non-homogeneous k-hypergeometric differential equation with the polynomial term.
Shengfeng Li, Yi Dong
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Summation formulae for the bilateral basic hypergeometric series ${}_1ψ_1 ( a; b; q, z )$
, 2016 We give summation formulae for the bilateral basic hypergeometric series ${}_1ψ_1( a; b; q, z )$ through Ramanujan's summation formula, which are generalizations of nontrivial identities found in the physics of three-dimensional Abelian mirror symmetry on $\mathbf{R}P^2 \times S^1$. We also show the $q \to 1 - 0$ limit of our summation formulae.
Mori, Hironori, Morita, Takeshi
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, 1999 Singh, Anand; Dhami, H.S.. (1999). Generating function of hypergeometric functions from the view point of change in the nature of hypergeometric series.
Singh, Anand, Dhami, H.S.
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Congruences concerning truncated hypergeometric series
, 2017 We employ some formulae on hypergeometric series and p-adic Gamma function to establish several congruences.
Bing He
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The Ramanujan JournalzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Howard S. Cohl, Hans Volkmer
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Algebraic Structures in Modular q-hypergeometric Series [PDF]
, 2012 We will discuss several questions related to q-hypergeometric series and modular functions. Nahm's conjecture is an attempt to answer the question of when a certain q-hypergeometric series can have modularity.
Lee, Chul-hee
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Mock Theta Function Identities Deriving from Bilateral Basic Hypergeometric Series [PDF]
, 2017 The bilateral series corresponding to many of the third-, fifth-, sixth- and eighth order mock theta functions may be derived as special cases of 2ψ2 series ∞ ∑n=−∞ (a, c;q)n (b,d;q)n z n .
McLaughlin, James
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