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Keywords = spiralike function

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10 pages, 260 KB  
Article
On α-Pseudo Spiralike Functions Associated with Exponential Pareto Distribution (EPD) and Libera Integral Operator
by Jamiu Olusegun Hamzat, Matthew Olanrewaju Oluwayemi, Abiodun Tinuoye Oladipo and Alina Alb Lupas
Mathematics 2024, 12(9), 1305; https://doi.org/10.3390/math12091305 - 25 Apr 2024
Cited by 1 | Viewed by 1189
Abstract
The present study aims at investigating some characterizations of a new subclass Gα(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 [...] Read more.
The present study aims at investigating some characterizations of a new subclass Gα(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 Lx,nσ(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 Gα(μ,τ) is introduced, while some properties of functions belonging to this subclass are considered in the open unit disk. Full article
(This article belongs to the Special Issue New Trends in Complex Analysis Research, 2nd Edition)
14 pages, 298 KB  
Article
Application of a Multiplier Transformation to Libera Integral Operator Associated with Generalized Distribution
by Jamiu Olusegun Hamzat, Abiodun Tinuoye Oladipo and Georgia Irina Oros
Symmetry 2022, 14(9), 1934; https://doi.org/10.3390/sym14091934 - 16 Sep 2022
Cited by 2 | Viewed by 1830
Abstract
The research presented in this paper deals with analytic p-valent functions related to the generalized probability distribution in the open unit disk U. Using the Hadamard product or convolution, function fs(z) is defined as involving an analytic [...] Read more.
The research presented in this paper deals with analytic p-valent functions related to the generalized probability distribution in the open unit disk U. Using the Hadamard product or convolution, function fs(z) is defined as involving an analytic p-valent function and generalized distribution expressed in terms of analytic p-valent functions. Neighborhood properties for functions fs(z) are established. Further, by applying a previously introduced linear transformation to fs(z) and using an extended Libera integral operator, a new generalized Libera-type operator is defined. Moreover, using the same linear transformation, subclasses of starlike, convex, close-to-convex and spiralike functions are defined and investigated in order to obtain geometrical properties that characterize the new generalized Libera-type operator. Symmetry properties are due to the involvement of the Libera integral operator and convolution transform. Full article
(This article belongs to the Special Issue Symmetry in Pure Mathematics and Real and Complex Analysis)
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