%0 Journal Article
%T Applications of \(q\)-Mittag-Leffler type Poisson distribution to subclass of \(q\)-starlike functions
%A Aziz, Sh.
%A Ahmad, Kh.
%A Khan, B.
%A Salleh, Z.
%A Ali, Sh.
%A Bilal, H.
%A Khan, M. Gh.
%J Journal of Mathematics and Computer Science
%D 2023
%V 29
%N 3
%@ ISSN 2008-949X
%F Aziz2023
%X 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-Szego problems, distortion theorems and a sufficient condition.
%9 journal article
%R 10.22436/jmcs.029.03.06
%U https://doi.org/10.22436/jmcs.029.03.06
%P 272--282