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Research Article | Open Access

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

A. A. Azzam1,2, Daniel Breaz3, Shujaat Ali Shah4( ), Luminiţa-Ioana Cotîrlă5( )
Department of Mathematics, Faculty of Science and Humanities, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia
Department of Mathematics, Faculty of Science, New Valley University, Elkharga 72511, Egypt
Department of Mathematics, "1 Decembrie 1918" University of Alba Iulia, Alba Iulia 510009, Romania
Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, Nawabshah 67450, Pakistan
Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca 400114, Romania
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Abstract

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.

Keywords

analytic functionsq−spiral-likefuzzy q−starlike functionsfuzzy q−convex functionsq−Ruscheweyh derivative operatorq−Srivastava-Attiya operator
CLC number: 30A10, 30C45

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26290-26300
DOI: 10.3934/math.20231341

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Cite this article:
Azzam AA, Breaz D, Shah SA, et al. Study of the fuzzy q −spiral-like functions associated with the generalized linear operator. AIMS Mathematics, 2023, 8(11): 26290-26300. https://doi.org/10.3934/math.20231341

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Received: 12 May 2023
Revised: 08 August 2023
Accepted: 13 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)