In this paper we determine certain coefficient inequalities for the classes of $q$-starlike and $q$-convex function and find the sufficient conditions for generalized Bessel function to belonging in these classes.
Keywords and Phrases
Univalent functions, $q$-convex functions, $q$-starlike functions, $q$-derivative operator, and generalized Bessel function.
A.M.S. subject classiﬁcation
30C45, 30C50, 30C80.