Article overview
Abstract
In the present paper we will establish some results and properties of $q$-generalized Mittag-Leffler function $E_{\alpha,\beta,r}^{\gamma,\delta, s}(z;q)$. We will get its convergence condition, recurrence relation and many other results associated with fractional calculus such as $q$-Laplace transform, Riemann-Liouville fractional $q$-integral operator. We will also discuss some important special cases of main results.
Keywords and Phrases
Generalized $q$-Mittag Leffler Function$q$-Gamma Function$q$-Beta Function$q$-Laplace transform$q$-Derivative$q$-Integral.
AMS Subject Classification
33E12, 33D05, 44A20.
Reference information
How to Cite
Krishna Gopal Bhadana, Ashok Kumar Meena (2021). SOME PROPERTIES OF $q-$ANALOGUE OF GENERALIZED MITTAG-LEFFLER FUNCTION ASSOCIATED WITH FRACTIONAL CALCULUS. South East Asian Journal of Mathematics and Mathematical Sciences, 17(1), 171-182.