Recursion formulas for Appell functions

DOI10.1080/10652469.2011.596483zbMath1273.33013OpenAlexW1996769783MaRDI QIDQ2892836

Xiaoxia Wang

Publication date: 25 June 2012

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

Full work available at URL: https://doi.org/10.1080/10652469.2011.596483

zbMATH Keywords

Appell functionsrecursion formulacontiguous relation

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Appell, Horn and Lauricella functions (33C65)

Related Items (18)

Contiguous relations for the Fox-Wright function ⋮ On certain new formulas for the Horn's hypergeometric functions \(\mathcal{G}_1\), \(\mathcal{G}_2\) and \(\mathcal{G}_3\) ⋮ Recursion formulas for certain quadruple hypergeometric functions ⋮ Further investigations on the two variables second Appell hypergeometric matrix function ⋮ Recursion formulas for H1-H7 horn hypergeometric functions ⋮ A new generalization of Pochhammer symbol and its applications ⋮ Recursion formulas for Srivastava's general triple \(q\)-hypergeometric series ⋮ Unnamed Item ⋮ A \((p, \nu)\)-extension of the Appell function \(F_1(\cdot)\) and its properties ⋮ The Appell function \(F_1\) and Regge string scattering amplitudes ⋮ Unnamed Item ⋮ Some results on the first Appell matrix functionF₁(A,B,B′,C;z,w) ⋮ Unnamed Item ⋮ Infinite summation formulas of double hypergeometric functions ⋮ Nonlinear evolutionary problem for a laminated inhomogeneous spherical shell ⋮ Some results on Srivastava’s triple hypergeometric matrix functions ⋮ Some recursion formulas for \(q\)-Lauricella series ⋮ Extension of Exton’s hypergeometric function K16

Cites Work

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• How can we escape Thomae's relations?
• Recursion formulas for Appell's hypergeometric function \(F_2\) with some applications to radiation field problems
• Abel's lemma on summation by parts and basic hypergeometric series
• Bailey's very well-poised \(_6\psi_6\)-series identity
• The modified Abel lemma on summation by parts and terminating hypergeometric series identities
• Abel's method on summation by parts and hypergeometric contiguous relations
• Abel's method on summation by parts and hypergeometric series

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