Open AccessA Note on Natural Transformation & Meijer’s G-Function
Author(s) -
Rajshreemishra Kalpana Rajput
Publication year - 2022
Publication title -
international journal of mathematics and computer research
Language(s) - English
Resource type - Journals
ISSN - 2320-7167
DOI - 10.47191/ijmcr/v10i3.06
Subject(s) - transformation (genetics) , mathematics , riemann hypothesis , function (biology) , differential equation , mathematical analysis , mathematical physics , chemistry , evolutionary biology , biology , gene , biochemistry
The objective of this paper is to investigate natural transform of Meijer’s G-Function in which Riemann–Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties in terms of Mittag-Leffler functions. Further, we show some applications of these natural transform in classical equations of mathematical physics, like the heat and the free electron laser equations, and in difference-differential equations governing the dynamics of generalized renewal stochastic processes.