The contiguous function relations for the basic hypergeometric series

DOI10.1016/0022-247X(90)90292-NzbMath0703.33012MaRDI QIDQ915917

Rene F. Swarttouw

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

basic hypergeometric functionRainville contiguous function relations

Mathematics Subject Classification ID

Related Items (5)

On basic Horn hypergeometric functions \(\mathrm{H}_3\) and \(\mathrm{H}_4\) ⋮ A new generalization of \(q\)-hypergeometric function ⋮ Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials ⋮ Unnamed Item ⋮ A Method for q-Calculus

Cites Work

• The q-analogue of the Laguerre polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• Generating Functions for Bessel and Related Polynomials
• The contiguous function relations for _{𝑝}𝐹_{𝑞} with application to Batemean’s 𝐽_{𝑛}^{𝑢,𝜈} and Rice’s 𝐻_{𝑛}(𝜁,𝑝,𝜈)
• Unnamed Item

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