Some Inclusion Properties for Meromorphic Functions Defined by New Generalization of Mittag-Leffler Function

S M Madian S M Madian,S Horrigue S Horrigue,Abdeljabbar Ghanmi Abdeljabbar Ghanmi

doi:10.24297/jam.v18i.8774

Abstract

In this paper, the authors introduced a new operator by using a generalized Mittag-Leffler function. Also, the authors defined the meromorphic subclasses associated. Finally calculated inclusion relation.

Highlights

We denote by ΣS∗(δ) the class of all meromorphically starlike functions of order δ
We denote by ΣC(δ) the class of all meromorphically convex functions of order δ
We denote by ΣK(σ, δ) the class of all meromorphically close-to-convex function of order σ and type δ

Summary

Introduction

We denote by ΣS∗(δ) the class of all meromorphically starlike functions of order δ. We denote by ΣC(δ) the class of all meromorphically convex functions of order δ. We denote by ΣK(σ, δ) the class of all meromorphically close-to-convex function of order σ and type δ. We denote by ΣK∗(σ, δ) the class of all meromorphically quasi-convex functions of order σ and type δ.

Results

Conclusion