Multivariable Lagrange expansion and generalization of Carlitz-Srivastava mixed generating functions

Families of mixed generating functions, generalizing those of the Carlitz-S rivastava type, are derived here by applying methods based on the multivari able extension of the Lagrange expansion. It is also shown that the combina tion with techniques of operational nature offers a wide flexibility to exp lore a wealth of mixed bilateral generating functions for special functions with many variables. (C) 2001 Academic Press.