Study of the fuzzy $ q- $spiral-like functions associated with the generalized linear operator-Reference-Cited by-同舟云学术

Study of the fuzzy $ q- $spiral-like functions associated with the generalized linear operator

Published:2023 Issue:11 Volume:8 Page:26290-26300
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Azzam A. A.¹²,Breaz Daniel³,Shah Shujaat Ali⁴,Cotîrlă Luminiţa-Ioana⁵

Affiliation:

1. Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia

2. Department of Mathematics, Faculty of Science, New Valley University, Elkharga 72511, Egypt

3. Department of Mathematics, "1 Decembrie 1918" University of Alba Iulia, Alba Iulia 510009, Romania

4. Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah 67450, Pakistan

5. Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca 400114, Romania

Abstract

<abstract><p>Nowadays, the subclasses of analytic functions in terms of fuzzy subsets are studied by various scholars and some of these concepts are extended using the $ q- $theory of functions. In this inspiration, we introduce certain subclasses of analytic function by using the notion of fuzzy subsets along with the idea of $ q- $calculus. We present the $ q- $extensions of the fuzzy spiral-like functions of a complex order. We generalize this class using the $ q- $analogues of the Ruscheweyh derivative and Srivastava-Attiya operators. Various interesting properties are examined for the newly defined subclasses. Also, some previously investigated results are deduced as the corollaries of our major results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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