Solutions to the associated q-Askey-Wilson polynomial recurrence\n relation

1993/12/28 by Dharma P. Gupta, Gupta, Dharma P., David R. Masson +1
Computer Science · Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/9312210

openalex publication_date 1993/12/28 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

A tphin contiguous relation is used to derive contiguous relations for a\nvery-well-poised ephis. These in turn yield solutions to the associated\nq-Askey-Wilson polynomial recurrence relation, expressions for the associated\ncontinued fraction, the weight function and a q-analogue of a generalized\nDougall's theorem.\n

Citations

• The Associated Ultraspherical Polynomials and their q-Analogues
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications

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