Utility of integral representations for basic hypergeometric functions and orthogonal polynomials

We describe the utility of integral representations for sums of basic hypergeometric functions. In particular we use these to derive an infinite sequence of transformations for symmetrizations over certain variables which the functions possess. These integral representations were studied by Bailey,...

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Vydáno v:	The Ramanujan journal Ročník 61; číslo 2; s. 649 - 674
Hlavní autoři:	Cohl, Howard S., Costas-Santos, Roberto S.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	New York Springer US 01.06.2023
Témata:	Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Basic hypergeometric functions Integral representations Basic hypergeometric orthogonal polynomials Generating functions 33D60 Transformations 33D15
ISSN:	1382-4090, 1572-9303
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