Analytic continuation formulas and Jacobi-type relations for Lauricella function

DOI10.1134/S1064562416020022zbMath1350.33021OpenAlexW2403664559MaRDI QIDQ2631192

S. I. Bezrodnykh

Publication date: 29 July 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562416020022

zbMATH Keywords

Riemann-Hilbert problemdifferential equationsanalytic continuationJacobi's formulacrowing problemLauricalla function \(F_D\)

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Local complex singularities (32S05) Appell, Horn and Lauricella functions (33C65)

Related Items (7)

Analytic continuation formulas for the hypergeometric functions in three variables of second order ⋮ Jacobi-type differential relations for the Lauricella function \(F_D^{(N)}\) ⋮ Finding the coefficients in the new representation of the solution of the Riemann-Hilbert problem using the Lauricella function ⋮ Analytic continuation of the Appell function \(F_1\) and integration of the associated system of equations in the logarithmic case ⋮ Analytic continuation of the Lauricella function with arbitrary number of variables ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ On capacity computation for symmetric polygonal condensers

Uses Software

• Schwarz-Christoffel
• SC Toolbox

Cites Work

• Some formulas for the Appell functionF₁(a, b, b′;c; w, z)
• Schwarz-Christoffel Mapping
• Integration of the Partial Differential Equations for the Hypergeometric Functions F1 and FD of Two and More Variables
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