(p,q)-Analogue of Mittag-Leffler Function with(p,q)-Laplace Transform  

作　　者：Alok Jain Altaf Ahmad Bhat Renu Jain Deepak Kumar Jain 

机构地区：[1]School of Mathematics and Allied Sciences,Jiwaji University,Gwalior(M.P.),India [2]Department of Mathematical Sciences,Islamic University of Science and Technology,Awantipora Pulwama,Jand K,India-192122 [3]Department of Engineering Mathematics and Computing,MITS,Gwalior(M.P.),India

出　　处：《Analysis in Theory and Applications》2022年第3期351-360,共10页分析理论与应用（英文刊）

摘　　要：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.

关 键 词：(p q)-analogue of Mittag-Leffler function (p q)-Gamma function Q-CALCULUS (p q)-derivative operator (p q)-Laplace transform 

分 类 号：O174.2[理学—数学]