Defining and Analyzing New Classes Associated with (λ,γ)-Symmetrical Functions and Quantum Calculus-Reference-Cited by-同舟云学术

Defining and Analyzing New Classes Associated with (λ,γ)-Symmetrical Functions and Quantum Calculus

Published:2024-08-22 Issue:16 Volume:12 Page:2603
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Louati Hanen¹²,Al-Rezami Afrah Y.³⁴,Darem Abdulbasit A.⁵^ORCID,Alsarari Fuad⁶^ORCID

Affiliation:

1. Department of Mathematics, College of Science, Northeren Border University, Arar 73222, Saudi Arabia

2. Laboratory of PDEs and Applications (LR03ES04), Faculty of Science of Tunis, University of Tunis El Manar, Tunis 1068, Tunisia

3. Mathematics Department, Prince Sattam Bin Abdulaziz University, Al-Kharj 16278, Saudi Arabia

4. Department of Statistics and Information, Sana’a University, Sana’a 1247, Yemen

5. Department of Computer Science, College of Science, Northern Border University, Arar 73222, Saudi Arabia

6. Department of Mathematics and Statistics, College of Sciences, Taibah University, Yanbu 46423, Saudi Arabia

Abstract

In this paper, we introduce new classes of functions defined within the open unit disk by integrating the concepts of (λ,γ)-symmetrical functions, generalized Janowski functions, and quantum calculus. We derive a structural formula and a representation theorem for the class Sqλ,γ(x,y,z). Utilizing convolution techniques and quantum calculus, we investigate convolution conditions supported by examples and corollary, establishing sufficient conditions. Additionally, we derive properties related to coefficient estimates, which further elucidate the characteristics of the defined function classes.

Funder

Northern Border University

Prince Sattam Bin Abdulaziz University

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/16/2603/pdf

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