On fundamental solutions for multidimensional Helmholtz equation with three singular coefficients

DOI10.1016/j.camwa.2018.09.014zbMath1442.35150arXiv1804.04363OpenAlexW2963485641WikidataQ129140392 ScholiaQ129140392MaRDI QIDQ2203711

Tukhtasin G. Ergashev

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.04363

zbMATH Keywords

fundamental solutionsconfluent hypergeometric functions of four variablesmultidimensional elliptic equation with three singular coefficients

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Electromagnetic theory (general) (78A25) Singular elliptic equations (35J75)

Related Items (7)

HOLMGREN PROBLEM FOR MULTUDIMENSIONAL ELLIPTIC EQUATION WITH TWO SINGULAR COEFFICIENTS. ⋮ DIRICHLET PROBLEM FOR THE MULTUDIMENSIONAL HELMHOLTZ EQUATION WITH ONE SINGULAR COEFFICIENT ⋮ Fundamental solutions of the generalized axially symmetric Helmholtz equation ⋮ Potentials for three-dimensional singular elliptic equation and their application to the solving a mixed problem ⋮ Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables ⋮ Hypergeometric expansions of solutions of the degenerating model parabolic equations of the third order ⋮ Потенциалы для трехмерного эллиптического уравнения с одним сингулярным коэффициентом и их применение

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