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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Veröffentlicht in:	The Ramanujan journal 2023-06, Vol.61 (2), p.649-674
Hauptverfasser:	Cohl, Howard S., Costas-Santos, Roberto S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Computation Continuity (mathematics) Factorials Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Hypergeometric functions Mathematics Mathematics and Statistics Nonlinear equations Number Theory Polynomials Representations Transformations (mathematics)
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