TY - JOUR
T1 - $(p, q)$-Analogue of Mittag-Leffler Function with $(p, q)$-Laplace Transform
AU - Jain , Alok
AU - Bhat , Altaf Ahmad
AU - Jain , Renu
AU - Jain , Deepak Kumar
JO - Analysis in Theory and Applications
VL - 3
SP - 351
EP - 360
PY - 2022
DA - 2022/07
SN - 38
DO - http://doi.org/10.4208/ata.OA-2018-0014
UR - https://global-sci.org/intro/article_detail/ata/20806.html
KW - $(p, q)$-analogue of Mittag-Leffler function, $(p, q)$-Gamma function, $q$-calculus, $(p, q)$-derivative operator, $(p, q)$-Laplace transform.
AB - The aim of this paper is to define $(p, q)$-analogue of Mittag-Leffler Function, by using $(p, q)$-Gamma function. Some transformation formulae are also derived
by using the $(p, q)$-derivative. The $(p, q)$-analogue for this function provides elegant
generalization of $q$-analogue of Mittag-Leffler function in connection with $q$-calculus.
Moreover, the $(p, q)$-Laplace Transform of the Mittag-Leffler function has been obtained. Some special cases have also been discussed.