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

Author

Listed:
  • Sondekola Rudra Swamy

    (Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru 560107, Karnataka, India
    All authors of this paper contributed equally.)

  • Alina Alb Lupaş

    (Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania
    All authors of this paper contributed equally.)

  • Nanjundan Magesh

    (Post-Graduate and Research Developent of Mathematics, Government Arts College for Men, Krishnagiri 635001, Kathujuganapalli, India
    All authors of this paper contributed equally.)

  • Yerragunta Sailaja

    (Department of Mathematics, RV. College of Engineering, Bengaluru 560107, Karnataka, India
    All authors of this paper contributed equally.)

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.

Suggested Citation

  • Sondekola Rudra Swamy & Alina Alb Lupaş & Nanjundan Magesh & Yerragunta Sailaja, 2023. "Properties of a Special Holomorphic Function Linked with a Generalized Multiplier Transformation," Mathematics, MDPI, vol. 11(19), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4126-:d:1251123
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    References listed on IDEAS

    as
    1. F. M. Al-Oboudi, 2004. "On univalent functions defined by a generalized Sălăgean operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-8, January.
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