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

Jamiu Olusegun Hamzat, Matthew Olanrewaju Oluwayemi (), Abiodun Tinuoye Oladipo and Alina Alb Lupas
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Jamiu Olusegun Hamzat: Department of Mathematics, University of Lagos, Akoka 101017, Nigeria
Matthew Olanrewaju Oluwayemi: Department of Mathematics and Statistics, Margaret Lawrence University, Galilee 321108, Nigeria
Abiodun Tinuoye Oladipo: Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso 212102, Nigeria
Alina Alb Lupas: Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania

Mathematics, 2024, vol. 12, issue 9, 1-10

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.

Keywords: analytic; univalent; starlike; spiralike; bounded turning; Libera integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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