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On α -Pseudo Spiralike Functions Associated with Exponential Pareto Distribution (EPD) and Libera Integral Operator

Author

Listed:
  • Jamiu Olusegun Hamzat

    (Department of Mathematics, University of Lagos, Akoka 101017, Nigeria
    These authors contributed equally to this work.)

  • Matthew Olanrewaju Oluwayemi

    (Department of Mathematics and Statistics, Margaret Lawrence University, Galilee 321108, Nigeria
    SDG 4 (Quality Education Research Group), Landmark University, Omu-Aran 251103, Nigeria
    These authors contributed equally to this work.)

  • Abiodun Tinuoye Oladipo

    (Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso 212102, Nigeria
    These authors contributed equally to this work.)

  • Alina Alb Lupas

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

Abstract

The present study aims at investigating some characterizations of a new subclass G α ( μ , τ ) and obtaining the bounds on the first two Taylor–Maclaurin coefficients for functions belonging to the newly introduced subclass. In order to achieve this, a compound function L x , n σ ( z ) is derived from the convolution of the analytic function f ( z ) and a modified exponential Pareto distribution G ( x ) in conjunction with the famous Libera integral operator L ( ζ ) . With the aid of the derived function, the aforementioned subclass G α ( μ , τ ) is introduced, while some properties of functions belonging to this subclass are considered in the open unit disk.

Suggested Citation

  • Jamiu Olusegun Hamzat & Matthew Olanrewaju Oluwayemi & Abiodun Tinuoye Oladipo & Alina Alb Lupas, 2024. "On α -Pseudo Spiralike Functions Associated with Exponential Pareto Distribution (EPD) and Libera Integral Operator," Mathematics, MDPI, vol. 12(9), pages 1-10, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:9:p:1305-:d:1382760
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