Applications of q -Calculus Multiplier Operators and Subordination for the Study of Particular Analytic Function Subclasses

Ekram E. Ali (), Georgia Irina Oros (), Shujaat Ali Shah and Abeer M. Albalahi
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Ekram E. Ali: Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Georgia Irina Oros: Department of Mathematics, University of Oradea, Universitatii 1, 410087 Oradea, Romania
Shujaat Ali Shah: Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology (QUEST), Nawabshah 67450, Pakistan
Abeer M. Albalahi: Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia

Mathematics, 2023, vol. 11, issue 12, 1-15

Abstract: In this article, a new linear extended multiplier operator is defined utilizing the q -Choi–Saigo–Srivastava operator and the q -derivative. Two generalized subclasses of q —uniformly convex and starlike functions of order δ —are defined and studied using this new operator. Necessary conditions are derived for functions to belong in each of the two subclasses, and subordination theorems involving the Hadamard product of such particular functions are stated and proven. As applications of those findings using specific values for the parameters of the new subclasses, associated corollaries are provided. Additionally, examples are created to demonstrate the conclusions’ applicability in relation to the functions from the newly introduced subclasses.

Keywords: subordination; uniformly starlike function; uniformly convex function; convolution (Hadamard) product; subordinating factor sequence; q -derivative operator; q -Choi–Saigo– Srivastava operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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