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Results on Linear Operators Associated with Pascal Distribution Series for a Certain Class of Normalized Analytic Functions

Author

Listed:
  • Saiful R. Mondal

    (Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Hasa 31982, Saudi Arabia
    These authors contributed equally to this work.)

  • Manas Kumar Giri

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Vellore, Vellore 632014, India
    These authors contributed equally to this work.)

  • Raghavendar Kondooru

    (Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology Vellore, Vellore 632014, India
    These authors contributed equally to this work.)

Abstract

In this study, we establish sufficient conditions for determining when linear operators related to the Pascal distribution series belong to various subclasses of univalent functions. Our findings are based on applying a coefficient bound from a specific class of analytic functions, providing valuable insights into the behavior of these functions under transformation.

Suggested Citation

  • Saiful R. Mondal & Manas Kumar Giri & Raghavendar Kondooru, 2025. "Results on Linear Operators Associated with Pascal Distribution Series for a Certain Class of Normalized Analytic Functions," Mathematics, MDPI, vol. 13(7), pages 1-30, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1053-:d:1619311
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