Certain Generating Relations Involving the Generalized Multi-Index Bessel-Maitland Function

摘要

Generating relations involving the special functions have already proved their important role in mathematics and other fields of sciences. In this paper, we aim to provide some presumably new generating relations in connection with the generalized multi-index Bessel-Maitland function J((gamma j)m,q)((lambda j)m,gamma) (.). The main results presented here, being very general, can yield a number of particular or equivalent identities, some of which are explicitly demonstrated.