Some Infinite Expansions of the Lauricella Functions and Their Application in the Study of Fundamental Solutions of a Singular Elliptic Equation
摘要
Abstract
In this article, a new inverse pair of symbolic operators withthe multidimensional analogues is introduced. The properties ofinverse pair of symbolic operators with the multidimensionalanalogues are studied. Formulas for the infinite expansion ofmultiple Lauricella functions are established. The application ofsome expansions in studying the properties of fundamentalsolutions of singular elliptic equations is shown.