New Results on Integral Operator for a Subclass of Analytic Functions Using Differential Subordinations and Superordinations

Author:

Salman Fatima Obaid1,Atshan Waggas Galib2ORCID

Affiliation:

1. Department of Mathematics, College of Education for Girls, University of Kufa, Najaf 540011, Iraq

2. Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniyah 58002, Iraq

Abstract

In this paper, we discuss and introduce a new study using an integral operator wk,μm in geometric function theory, especially sandwich theorems. We obtained some conclusions for differential subordination and superordination for a new formula generalized integral operator. In addition, certain sandwich theorems were found. The differential subordination theory’s features and outcomes are symmetric to those derived using the differential subordination theory.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference39 articles.

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3. Bulboacă, T. (2005). Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publishing .

4. Miller, S.S., and Mocanu, P.T. (2000). Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, Marcel Dekker.

5. Subordination results of multivalent functions defined by convolution;Mostafa;Hacet. J. Math. Stat.,2011

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