On computing some special values of multivariate hypergeometric functions

DOI10.1016/j.jmaa.2014.06.070zbMath1312.33054arXiv1212.0251OpenAlexW2171421692WikidataQ58887684 ScholiaQ58887684MaRDI QIDQ401111

Giovanni Mingari Scarpello, Daniele Ritelli

Publication date: 26 August 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0251

zbMATH Keywords

multivariate hypergeometric functionLauricella functionAppell functionEulerian integralscomplete elliptic integral of first kindKummer identityreduction of hyperelliptic integrals

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65) Elliptic functions and integrals (33E05)

Related Items (3)

Hypergeometric identities related to Roberts reductions of hyperelliptic integrals ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ The Feynman integral in ℝ¹⊕ ℝ^mand complex expansion of₂F₁

Cites Work

• \(\pi\) and the hypergeometric functions of complex argument
• A transformation formula for Appell's hypergeometric function \(F_1\) and common limits of triple sequences by mean iterations
• The hyperelliptic integrals and \(\pi \)
• On the geometry of elliptic solitons
• Special values of the hypergeometric series II
• Some Transformation Formulas for Lauricella's Hypergeometric Functions FD
• Special values of the hypergeometric series
• Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations
• Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
• Quadratic Transformations of Appell Functions
• Elliptic Baker–Akhiezer functions and an application to an integrable dynamical system
• Special values of the hypergeometric series III
• Lamé polynomials, hyperelliptic reductions and Lamé band structure
• On Epstein's Zeta-function.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On computing some special values of multivariate hypergeometric functions