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On fundamental solutions for 3D singular elliptic equations with a parameter

✍ Scribed by A.K. Urinov; E.T. Karimov

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
214 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

The main result of the present work is the finding of fundamental solutions for a class of three-dimensional singular elliptic equations with a parameter. The fundamental solutions found contain Lauricella's hypergeometric functions and, as particular cases, other special functions such as Appel's and Horn's hypergeometric functions.

πŸ“œ SIMILAR VOLUMES

Fundamental solutions for a class of thr
Fundamental solutions for a class of three-dimensional elliptic equations with singular coefficients
✍ Anvar Hasanov; E.T. Karimov πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 429 KB

s hypergeometric functions of three variables a b s t r a c t We consider an equation Here Ξ±, Ξ², Ξ³ are constants, moreover 0 < 2Ξ±, 2Ξ², 2Ξ³ < 1. The main result of this paper is a construction of eight fundamental solutions for the above-given equation in an explicit form. They are expressed by Laur