Generating functions involving the incomplete H-functions

Abstract

In this article, for the incomplete H-functions, we obtain a set of new generating functions. The bilateral along with linear generating relations are derived for the incomplete H-functions. Many of the generating functions readily accessible in the literature are often deemed as implementations of the main findings. All the derived findings are of a natural type and can produce a variety of new results in generating function theory. © 2021 Walter de Gruyter GmbH, Berlin/Boston.