Utility of integral representations for basic hypergeometric functions and orthogonal polynomials
DOI10.1007/s11139-021-00509-5arXiv2108.03275WikidataQ114223567 ScholiaQ114223567MaRDI QIDQ6098232
Roberto S. Costas-Santos, Howard S. Cohl
Publication date: 13 June 2023
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.03275
generating functionstransformationsbasic hypergeometric functionsintegral representationsbasic hypergeometric orthogonal polynomials
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic hypergeometric integrals and functions defined by them (33D60)
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Cites Work
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- Expansions in the Askey-Wilson polynomials
- Basic hypergeometric functions as limits of elliptic hypergeometric functions
- A product formula for the continuous q-Jacobi polynomials
- More q-beta integrals
- Asymptotic and generating relations for the q-Jacobi and //\(4Phi_ 3\) polynomials
- Some generating functions for the associated Askey-Wilson polynomials
- Terminating basic hypergeometric representations and transformations for the Askey-Wilson polynomials
- q-Integral and Moment Representations for q-Orthogonal Polynomials
- Two Families of Associated Wilson Polynomials
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Projection Formulas, a Reproducing Kernel and a Generating Function for q-Wilson Polynomials
- An integral Representation of a 10ϕ9 and Continuous Bi-Orthogonal 10ϕ9 Rational Functions
- Some Extensions of Askey-Wilson's Q-Beta Integral and the Corresponding Orthogonal Systems
- A non-standard generating function for continuous dual q-Hahn polynomials
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