Inclusion and Subordination Properties for Classes of Multivalent Functions Involving Differ-Integral Operator

Authors

Rabha M. El-Ashwah, Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, EgyptFollow
Wafaa Y. Kota, Department of Mathematics, Faculty of Science, Damietta University, New Damietta 34517, EgyptFollow
Teodor Bulboaca ̆, Faculty of Mathematics and Computer Science, Babes ̧-Bolyai University, 400084 Cluj-Napoca, RomaniaFollow

Abstract

In this paper, using the linear operator dλ ,l (a, c, μ ) defined by a convolution product [2] we introduced and studied a general p,m class of multivalent functions in the open unit disc introduced by using the concept of the subordination. The main results we obtained deals with inclusion properties between these classes, and with some general subordination properties connected with the mentioned operator. All the results are sharp, the best possible, and are followed by special cases connected with the new defined classes, and other applications in the theory of multivalent and univalent functions.

Recommended Citation

M. El-Ashwah, Rabha; Y. Kota, Wafaa; and Bulboaca ̆, Teodor (2022) "Inclusion and Subordination Properties for Classes of Multivalent Functions Involving Differ-Integral Operator," Information Sciences Letters: Vol. 11 : Iss. 1 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol11/iss1/11