Geometric Properties of Certain Classes of Analytic Functions with Respect to ( x, y )-Symmetric Points

Fuad Alsarari (), Muhammad Imran Faisal and Alaa Awad Alzulaibani
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Fuad Alsarari: Department of Mathematics and Statistics, Sciences College, Taibah University, Yanbu 41911, Saudi Arabia
Muhammad Imran Faisal: Mathematics Department, Taibah University, Medina 41477, Saudi Arabia
Alaa Awad Alzulaibani: Department of Mathematics and Statistics, Sciences College, Taibah University, Yanbu 41911, Saudi Arabia

Mathematics, 2023, vol. 11, issue 19, 1-10

Abstract: In this article, the present study employs the utilization of the concepts pertaining to ( x , y ) -symmetrical functions, Janowski type functions, and q -calculus in order to establish a novel subclass within the open unit disk. Specifically, we delve into the examination of convolution properties, which serve as a tool for investigating and inferring adequate and equivalent conditions. Moreover, we also explore specific characteristics of the class S ˜ q x , y ( α , β , λ ) , thereby further scrutinizing the convolution properties of these newly defined classes.

Keywords: analytic functions; ( x , y )-symmetrical functions; q -calculus; Hadamard product; ( ? , q )-neighborhood (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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