Some properties of a linear operator involving generalized Mittag-Leffler function

Basem Aref Frasin, Tariq Al-Hawary, Feras Yousef

Abstract


This paper introduces a new class T +1;; ;k() of analytic functions
which is dened by means of a linear operator involving generalized
Mittag-Leer function H;;k(f). The results investigated in this paper
include, some inclusion relation for function in the class T +1;; ;k() and
also some subordination results of the linear operator H
;;k(f). Several consequences of our results are also pointed out.


Keywords


Analytic functions, univalent, Mitttag-Lefller function, differential subordination, convex function

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References


Prof. Satyanarayana Latha

Department of Mathematics

Yuvaraja’s College

University of Mysore

Mysore 570005

India

email:drlatha@gmail.com

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Prof. M.K. Aouf

Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

e-mail : mkaouf127@yahoo.com

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DOI: http://dx.doi.org/10.24193/subbmath.2020.1.06

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