Results 81 to 90 of about 5,729 (101)

Constructing basises in solution space of the system of equations for the Lauricella Function FD (N)

Integral transforms and special functions, 2023
The paper considers the issue of constructing basises in the solution space of the system of partial differential equations, which is satisfied by the Lauricella hypergeometric function , depending on N complex variables and having complex parameters , b,
S. I. Bezrodnykh
semanticscholar   +1 more source

The Lauricella hypergeometric function , the Riemann–Hilbert problem, and some applications

Russian Mathematical Surveys, 2018
The problem of analytic continuation is considered for the Lauricella function , a generalized hypergeometric functions of complex variables. For an arbitrary a complete set of formulae is given for its analytic continuation outside the boundary of the ...
S. I. Bezrodnykh
semanticscholar   +1 more source

Analytic continuation of Lauricella's function F D (N) for large in modulo variables near hyperplanes {z j = z l }

Integral transforms and special functions, 2021
We consider the Lauricella hypergeometric function , depending on variables , and obtain formulas for its analytic continuation into the vicinity of a singular set which is an intersection of the hyperplanes . It is assumed that all N variables are large
S. I. Bezrodnykh
semanticscholar   +1 more source

Analytic continuation of Lauricella's function F D (N) for variables close to unit near hyperplanes {z j = z l }

Integral transforms and special functions, 2021
For the Lauricella hypergeometric function with an arbitrary number of variables , we construct formulas for analytic continuation into the vicinity of hyperplanes and their intersections providing that all variables are close to unit.
S. I. Bezrodnykh
semanticscholar   +1 more source

Analytic continuation of Lauricella's functions , and

Integral transforms and special functions, 2020
We construct formulas for analytic continuation of the Lauricella functions , and into the exterior of the domains, where they are initially defined by N-multiple hypergeometric series.
S. I. Bezrodnykh
semanticscholar   +1 more source

TWISTED PERIOD RELATIONS FOR LAURICELLA'S HYPERGEOMETRIC FUNCTIONS FA

, 2013
We study Lauricella's hypergeometric function $F_A$ of $m$-variables and the system $E_A$ of differential equations annihilating $F_A$, by using twisted (co)homology groups.
Y. Goto
semanticscholar   +1 more source

Exceptions of Formulating the Normal-Regular Solutions of Confluent Hypergeometric Systems Obtained from the Lauricella System

Lobachevskii Journal of Mathematics, 2022
Zh.N. Tasmambetov, Zh.K. Ubayeva
semanticscholar   +1 more source

Estimation of the Remainder Term of the Hypergeometric Series \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$G_D^{(N,

Mathematical Notes
S. I. Bezrodnykh, O. V. Dunin-Barkovskaya   +1 more
semanticscholar   +1 more source

A Jackson integral representation for a multiple q-hypergeometric series and an extension of the q-Riemann–Papperitz system

The Ramanujan journal
Takahiko Nobukawa
semanticscholar   +1 more source

nth-Order q-derivatives of multivariable q-hypergeometric series with respect to parameters

, 2014
Vivek Sahai, Ashish Verma
semanticscholar   +1 more source