Contiguous relations and their computations for \(_2F_1\) hypergeometric series

DOI10.1016/j.camwa.2008.04.018zbMath1165.33302OpenAlexW1964634154MaRDI QIDQ2389731

Medhat A. Rakha, Adel Kh. Ibrahim

Publication date: 18 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.04.018

zbMATH Keywords

Gauss hypergeometric functioncomputer algebralinear recurrence relationcontiguous function relation\(_2F_1\) hypergeometric function

Mathematics Subject Classification ID

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

Related Items (7)

Contiguous relations and their computations for \(_2F_1\) hypergeometric series ⋮ Classical Klein-Gordon solutions, symplectic structures, and isometry actions on AdS spacetimes ⋮ Computation of power law equilibrium measures on balls of arbitrary dimension ⋮ Some formulas for Horn's hypergeometric function \(\mathrm{G}_B\) of three variables ⋮ Numerical methods for the computation of the confluent and Gauss hypergeometric functions ⋮ On some new contiguous relations for the Gauss hypergeometric function with applications ⋮ Contiguous function relations for \(k\)-hypergeometric functions

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