Article

Holmgren problem for Helmholtz equation with the three singular coefficients

Davlatjon R. MuydinjanovKokand State Pedagogical Institute named after Mukimi , Kokand , Fergana, Uzbekistan

e-Journal of Analysis and Applied Mathematicsjournal2019en

ABI

Abstract

Abstract Fundamental solutions for a multidimensional Helmholtz equation with three singular coefficients have been constructed recently which are expressed in terms of the confluent hypergeometric function in four variables. In this paper, we study the Holmgren problem for a 3D elliptic equation with three singular coefficients. A unique solution of the problem is obtained in the explicit form.

Topics

Numerical methods in engineering Differential Equations and Numerical Methods Differential Equations and Boundary Problems

Identifiers

DOI: 10.2478/ejaam-2019-0002

Citations and references

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