Inequalities on a Class of Analytic Functions Defined by Generalized Mittag-Leffler Function

By making use of the generalized difference operator, we have defined a new class of λ-pseudo Pascu type functions of complex order using subordination. Interesting results such as subordination results, inequalities for the initial Taylor-Maclaurin coefficients and unified solution of Fekete-Szego problem have been obtained. Also, the study has been extended to quantum calculus by replacing the ordinary derivative with a q-derivative in the defined function class. Several applications, known or new of the main results are also presented.  https://doi.org/10.2298/FIL2319277C

KEYWORDS: Analytic functions; Bazilevic functions; Starlike and convex functions; Subordination; Fekete-Szeg ˇ o problem; Coe ˝ fficient