The relations between some classes of special functions of mathematical physics
Matematičeskoe modelirovanie, Tome 17 (2005) no. 2, pp. 22-34
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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.
@article{MM_2005_17_2_a2,
author = {N. V. Prokofieva},
title = {The relations between some classes of special functions of mathematical physics},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {22--34},
year = {2005},
volume = {17},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2005_17_2_a2/}
}
N. V. Prokofieva. The relations between some classes of special functions of mathematical physics. Matematičeskoe modelirovanie, Tome 17 (2005) no. 2, pp. 22-34. http://geodesic.mathdoc.fr/item/MM_2005_17_2_a2/