Publisher's Synopsis
In this chapter, we give a brief review of the theory of special functions, special matrix functions and representation theory of Lie algebras that will be needed in the subsequent chapters. The theory of special functions has been enriched by the works of Euler, Gauss, Kummer, Riemann and Ramanujan, to name a few. For a detailed study of the subject, we refer to Bailey [5], Erdelyi, Magnus, Oberhettinger and Tricomi [18], Rainville [64], Slater [75], Exton [20]-[22], Srivastava and Manocha [80], Srivastava and Karlsson [81], Gasper and Rahman [28] and Andrews, Askey and Roy [3].