@Article{ATA-38-351, author = {Jain , AlokBhat , Altaf AhmadJain , Renu and Jain , Deepak Kumar}, title = {$(p, q)$-Analogue of Mittag-Leffler Function with $(p, q)$-Laplace Transform}, journal = {Analysis in Theory and Applications}, year = {2022}, volume = {38}, number = {3}, pages = {351--360}, abstract = {

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.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2018-0014}, url = {http://global-sci.org/intro/article_detail/ata/20806.html} }