Publisher's Synopsis
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations.;This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie groups. Also treated are special functions of a matrix argument, representations in the Gel'fand Tsetlin basis, and, finally, modular forms, theta-functions and affine Lie algebras.;The volume builds upon results of the previous two volumes, and presents many new results.;Subscribers to the complete set of three volumes will be entitled to a discount of 15%.