Results 101 to 110 of about 133,643 (206)

Symmetry of terminating basic hypergeometric series representations of the Askey–Wilson polynomials

Journal of Mathematical Analysis and Applications, 2022
H. Cohl, R. S. Costas-Santos
semanticscholar   +1 more source

Application of basic hypergeometric series to stable analytic continuation

Journal of Computational and Applied Mathematics, 2000
AbstractStable sampling formula using basic hypergeometric series for reconstructing analytic functions from exponentially spaced samples is considered. Criterion for selecting regularizing parameter and error estimates are obtained.
Ismail Ali, Vu Kim Tuan
openaire   +2 more sources

Combinatorial proofs of identities in basic hypergeometric series

European Journal of Combinatorics, 2008
AbstractIn this paper, the q-Pfaff-Saalschütz formula and the q-Sheppard ϕ23 transformation formula are established combinatorially.
openaire   +2 more sources

Abel's lemma on summation by parts and basic hypergeometric series

Advances in Applied Mathematics, 2007
AbstractBasic hypergeometric series identities are revisited systematically by means of Abel's lemma on summation by parts. Several new formulae and transformations are also established. The author is convinced that Abel's lemma on summation by parts is a natural choice in dealing with basic hypergeometric series.
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K-theoretic wall-crossing formulas and multiple basic hypergeometric series [PDF]

Journal of Algebra
Ryo Ohkawa, Jun'ichi Shiraishi
semanticscholar   +1 more source

Supercongruences arising from basic hypergeometric series

Journal of Number Theory, 2017
Abstract We employ some formulas on basic hypergeometric series and hypergeometric series and the p -adic Gamma function to establish several new supercongruences.
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The Euler operator for basic hypergeometric series [PDF]

International Journal of Advances in Applied Mathematics and Mechanics, 2014
Mohammed A. Abdlhusein
doaj  

Transformation Formulas and Three-Term Relations for Basic Hypergeometric Series

Funkcialaj Ekvacioj, 2020
Yuka Yamaguchi
semanticscholar   +1 more source

A new family of <i>q</i>-hypergeometric congruences from Andrews' multi-series transformation. [PDF]

Rev R Acad Cienc Exactas Fis Nat A Mat
Guo VJW, Schlosser MJ.
europepmc   +1 more source

Certain transformations of basic hypergeometric series and their applications [PDF]

Pacific Journal of Mathematics, 1982
openaire   +3 more sources