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

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 a...

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Veröffentlicht in:	Applied mathematics letters 2011-03, Vol.24 (3), p.314-319
Hauptverfasser:	Urinov, A.K., Karimov, E.T.
Format:	Artikel
Sprache:	eng
Schlagworte:	Appel’s hypergeometric functions Exact sciences and technology Horn’s hypergeometric functions Hypergeometric functions Laplace equation Lauricella’s hypergeometric functions Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Sciences and techniques of general use Singular elliptic equation with parameter Special functions Three dimensional
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Beschreibung
Zusammenfassung:	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.
ISSN:	0893-9659 1873-5452
DOI:	10.1016/j.aml.2010.10.013