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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2005 Volume 17, Number 2, Pages 22–34 (Mi mm152)

The relations between some classes of special functions of mathematical physics

N. V. Prokofieva

Moscow State Open Pedagogical University named after Sholokhov M. A.

Abstract: For reception the integral presentations, recurrence mold, theorems of adding and etc. of special functions are at present used two approaches: classical ? connected with decision of equations in private derived method of division variable or finding the own functions of differential operations in some curvilinear co-ordinate systems; and method of theory of presentations of groups, which allows to take into account in-variance of mathematical physics operators and covers the theory of some most important classes of spe-cial functions with united standpoint. The relationship of hypergeometric functions, Witteker?s and Mcdonald?s functions, G- functions of Meyer and etc. with presentations four ? dimensional psevdoor-togonal group SO(2,2) will be consider bellow.

Received: 16.01.2004



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