Jacobi-type differential relations for the Lauricella function \(F_D^{(N)}\)

DOI10.1134/S0001434616050205zbMath1350.33022OpenAlexW2429438178MaRDI QIDQ325541

S. I. Bezrodnykh

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434616050205

zbMATH Keywords

Jacobi identityGauss functionChristoffel-Schwarz integralgeneralized Lauricella hypergeometric functionJacobi-type differential relation

Mathematics Subject Classification ID

Appell, Horn and Lauricella functions (33C65)

Related Items (3)

Analytic continuation formulas for the hypergeometric functions in three variables of second order ⋮ Finding the coefficients in the new representation of the solution of the Riemann-Hilbert problem using the Lauricella function ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On movable singularities of Garnier systems
• Singular Riemann-Hilbert problem in complex-shaped domains
• Monodromy of hypergeometric functions and non-lattice integral monodromy
• Analytic continuation formulas and Jacobi-type relations for Lauricella function
• Hypergeometric functions of two variables
• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• Algebraic Evaluations of Some Euler Integrals, Duplication Formulae for Appell's Hypergeometric Function F₁, and Brownian Variations
• Schwarz-Christoffel Mapping
• Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables

This page was built for publication: Jacobi-type differential relations for the Lauricella function \(F_D^{(N)}\)