Article

Some Infinite Expansions of the Lauricella Functions and Their Application in the Study of Fundamental Solutions of a Singular Elliptic Equation

Tuhtasin ErgashevGhent University, 9000, Ghent, BelgiumAnvar HasanovGhent University, 9000, Ghent, BelgiumT. K. YuldashevTashkent State University of Economics, 100066, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

In this article, a new inverse pair of symbolic operators with the multidimensional analogues is introduced. The properties of inverse pair of symbolic operators with the multidimensional analogues are studied. Formulas for the infinite expansion of multiple Lauricella functions are established. The application of some expansions in studying the properties of fundamental solutions of singular elliptic equations is shown.

Topics

Algebraic and Geometric Analysis Differential Equations and Boundary Problems Advanced Mathematical Modeling in Engineering

Identifiers

DOI: 10.1134/s1995080224600742

Citations and references

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