Applications of q-Mittag-Leffler type Poisson distribution to subclass of q-starlike functions

In the recent years, the usage of special functions in combinations with the q-series has got attraction of a number of mathematicians. In this paper, we first highlighted and studied some well-known celebrated special functions. We then use the idea of convolution and define a new series, namely the series of q-Mittag-Leffler functions with the q-Poisson distribution. Finally by using the q-Mittag-Leffler type q-Poisson distribution we then define a new subclass of q-Starlike functions associated with the Janwoski functions. We derive a number of useful results like the Fekete-Szeg o center dot problems, distortion theorems and a sufficient condition.