Properties of a Special Holomorphic Function Linked with a Generalized Multiplier Transformation

Author:

Swamy Sondekola Rudra1ORCID,Alb Lupaş Alina2ORCID,Magesh Nanjundan3ORCID,Sailaja Yerragunta4ORCID

Affiliation:

1. Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru 560107, Karnataka, India

2. Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania

3. Post-Graduate and Research Developent of Mathematics, Government Arts College for Men, Krishnagiri 635001, Kathujuganapalli, India

4. Department of Mathematics, RV. College of Engineering, Bengaluru 560107, Karnataka, India

Abstract

In the present paper, we introduce a special holomorphic function in U={z∈C:|z|<1} which is associated with new generalized multiplier transformations. We investigate several properties of the defined function using the concept of subordination, then highlight a number of cases with interesting results.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference37 articles.

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5. Subclasses of univalent functions;Proceedings of the Complex Analysis—Fifth Romanian-Finnish Seminar: Part 1 Proceedings of the Seminar held in Bucharest, June 28–July 3, 1981,1983

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