The Dirichlet problem for the generalized bi-axially symmetric Helmholtz equation
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Publication:2839017
zbMath1267.35005arXiv1401.5144MaRDI QIDQ2839017
M. S. Salakhitdinov, Aknazar B. Khasanov
Publication date: 4 July 2013
Full work available at URL: https://arxiv.org/abs/1401.5144
Dirichlet problemfundamental solutionsGreen's functionsingular partial differential equationgeneralized bi-axially symmetric Helmholtz equationKummer's confluent hypergeometric function in three variables
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DIRICHLET PROBLEM FOR THE MULTUDIMENSIONAL HELMHOLTZ EQUATION WITH ONE SINGULAR COEFFICIENT ⋮ Self-similar solutions of some model degenerate partial differential equations of the second, third, and fourth order ⋮ Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables ⋮ \((m,h)\)-monogenic functions related to axially symmetric Helmholtz equations ⋮ Generalization of the Kelvin theorem for solutions of elliptic equations with singular coefficients and applications
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