Lie Theoretic Approach to Basic Analogue of G-Function

The present book endeavour to undertake Lie theoretic study of basic analogue of G ¿function for deriving generating functions and multiplication theorems and to introduce the symmetry techniques for the classification and derivation of generating function for families of basic analogue of G ¿ function corresponding to each family of basic analogue of G ¿function, a canonical system of partial q¿difference equations has been associated and the symmetries of these equations are used to derive q¿series identities.