Fractional calculus of generalized Lommel-Wright function and its extended Beta transform

Abstract

In this work, we apply generalized Saigo fractional differential and integral operators having k-hypergeometric function as a kernel, to extended Lommel-Wright function. The results are communicated in the form of the k-Wright function and are utilized to compute beta transform. The novelty and the generalization of the obtained results are shown by relating them with existing literature as special cases.

Keywords

• generalized lommel-wright function
• k-wright function
• generalized fractional operators
• integral transform