Multivariable Lagrange Expansion and Generalization of Carlitz–Srivastava Mixed Generating Functions

Families of mixed generating functions, generalizing those of the Carlitz– Srivastava type, are derived here by applying methods based on the multivariable extension of the Lagrange expansion. It is also shown that the combination with techniques of operational nature offers a wide flexibility to explore a wealth of mixed bilateral generating functions for special functions with many variables