Contiguous relations for \(_{2}F_{1}\) hypergeometric series

DOI10.1016/j.joems.2012.08.005zbMath1264.33007OpenAlexW192701698MaRDI QIDQ1942940

Adel Kh. Ibrahim

Publication date: 14 March 2013

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2012.08.005

zbMATH Keywords

hypergeometric functioncontiguous relations

Mathematics Subject Classification ID

Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

Some formulas for Horn's hypergeometric function \(\mathrm{G}_B\) of three variables ⋮ Bernstein-type bounds for beta distribution

Cites Work

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• A generalization of Kummer's identity.
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• Contiguous relations of hypergeometric series
• Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. III: Associated continuous dual \(q\)-Hahn polynomials
• On the contiguous relations of hypergeometric series
• Use of the Gauss Contiguous Relations in Computing the Hypergeometric Functions F(n+1/2, n+1/2; m;z).
• Contiguous relations, continued fractions and orthogonality
• Lie Theory and Generalizations of the Hypergeometric Functions
• 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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