Analytic continuation of the3F2hypergeometric series

DOI10.1080/10652469.2016.1231674zbMath1357.33011OpenAlexW2532082879MaRDI QIDQ5506809

Barton L. Willis

Publication date: 16 December 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1231674

zbMATH Keywords

hypergeometric functionanalytic continuationbinomial transformation

Mathematics Subject Classification ID

Recurrences (11B37) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

The binomial transform of p-recursive sequences and the dilogarithm function

Uses Software

• DLMF

Cites Work

• Unnamed Item
• New series expansions of the Gauss hypergeometric function
• Transformations of Kummer-type for \(_2F_2\)-series and their \(q\)-analogues
• Sister Celine's technique and its generalizations
• On the asymptotic connection between two exponential sums.
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• An Analytic Continuation of the Hypergeometric Series
• Accuracy and Stability of Numerical Algorithms
• Analytic Continuations of Higher-Order Hypergeometric Functions
• Some generalized hypergeometric polynomials
• A Note on Pure Recurrence Relations

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