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

Sondekola Rudra Swamy (), Alina Alb Lupaş (), Nanjundan Magesh and Yerragunta Sailaja
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Sondekola Rudra Swamy: Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru 560107, Karnataka, India
Alina Alb Lupaş: Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
Nanjundan Magesh: Post-Graduate and Research Developent of Mathematics, Government Arts College for Men, Krishnagiri 635001, Kathujuganapalli, India
Yerragunta Sailaja: Department of Mathematics, RV. College of Engineering, Bengaluru 560107, Karnataka, India

Mathematics, 2023, vol. 11, issue 19, 1-10

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.

Keywords: Holomorphic function; generalized multiplier transformation; subordination (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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