Article

<b>Fundamental solutions of generalized bi-axially symmetric Helmholtz equation</b>

Anvar HasanovInstitute of Mathematics, Uzbek Academy of Sciences , 29 F. Hodjaev Street, Tashkent 700125, Uzbekistan

Complex Variables and Elliptic Equationsjournal2007en

ABI

Abstract

In this article for the generalized bi-axially symmetric Helmholz equation (GBSHE) in the domain four fundamental solutions expressed by confluent hypergeometric functions of Kummer of three variables are constructed in explicit form. By means of the expansion of the confluent hypergeometric function it is proved that the solutions found have logarithmic singularities at r = 0.

Topics

Nonlinear Waves and Solitons Mathematical functions and polynomials Numerical methods for differential equations

Identifiers

DOI: 10.1080/17476930701300375

Citations and references

Cited by 21 16 references

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