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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
Citation:
N. V. Prokofieva, “The relations between some classes of special functions of mathematical physics”, Matem. Mod., 17:2 (2005), 22–34
Linking options:
https://www.mathnet.ru/eng/mm152 https://www.mathnet.ru/eng/mm/v17/i2/p22
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Abstract page: | 320 | Full-text PDF : | 114 | First page: | 1 |
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