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.