The generalized hypergeometric difference equation

DOI10.1515/dema-2018-0007zbMath1392.33004OpenAlexW2809140019WikidataQ129622708 ScholiaQ129622708MaRDI QIDQ720762

Tom Cuchta, Martin J. Bohner

Publication date: 18 July 2018

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2018-0007

zbMATH Keywords

special functionsdelay difference equationsgeneralized hypergeometric functionscontiguous relationdiscrete hypergeometric series

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (5)

Spectral structure and solution of fractional hydrogen atom difference equations ⋮ Discrete polylogarithm functions ⋮ Discrete generating functions ⋮ Discrete complementary exponential and sine integral functions ⋮ Discrete matrix hypergeometric functions

Cites Work

• Classical orthogonal polynomials of a discrete variable continuous orthogonality relation
• Products of terminating \(_3F_2(1)\) series
• The special functions and their approximations. Vol. I, II
• The Bessel difference equation
• Discrete Bessel functions and partial difference equations
• 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)
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