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Hypergeometric functions in arithmetic geometry [PDF]
, 2009 textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a couple of ways in which hypergeometric functions appear in arithmetic geometry.
Salerno, Adriana Julia, 1979-
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General duality relations for hypergeometric and basic hypergeometric series
24 pages; no ...
Karp, Dmitrii, Zhang, Yi
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Some New q-Congruences for Truncated Basic Hypergeometric Series: Even Powers. [PDF]
Results Math, 2020 Guo VJW, Schlosser MJ.
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Irrationality Measures of Numbers Related to Some $q$-Basic Hypergeometric Series
, 2014 We obtain rather good irrationality measures for numbers related to some $q$-basic hypergeometric series.
Väänänen, Keijo
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Some $q$-supercongruences for multiple basic hypergeometric series
In terms of several summation and transformation formulas for basic hypergeometric series, two forms of the Chinese remainder theorem for coprime polynomials, the creative microscoping method introduced by Guo and Zudilin, Guo and Li\u27s lemma, and El ...
Wei, Chuanan
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Combinatorial proofs of identities in basic hypergeometric series
European Journal of Combinatorics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Abel's lemma on summation by parts and basic hypergeometric series
Advances in Applied Mathematics, 2007 The author continues to explore the use of Abel's lemma on summation by parts to prove basic hyperegeometric series identities. He gives simple proofs of unilateral and bilateral series identities such as the \(q\)-binomial theorem, the \(_1\psi_1\) summation [transcribed from Aequationes Math. 72, No.
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The generalized Zwegers' $\mu$-function and transformation formulas for the bilateral basic hypergeometric series [PDF]
By applying Slater's transformation formulas for the bilateral basic hypergeometric series ${}_2\psi_{2}$, we derive three type translation formulas for the generalized Zwegers' $\mu$-function (``continuous $q$-Hermite function'') which was introduced by
Shibukawa, Genki, Tsuchimi, Satoshi
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