Fuzzy differential for subclass of analytic functions defined by linear operator

Salih, Duaa Abdullah; Juma, Abdul Rahman S.; Al-Fayadh, Ali

doi:10.47974/JIM-1463

Open Access Research Article

Fuzzy differential for subclass of analytic functions defined by linear operator

^*Duaa Abdullah SalihCorresponding authordua20u2008@uoanbar.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of AnbarRamadi, IraqView full profile → , Abdul Rahman S. Jumaeps.abdulrahman.juma@uoanbar.edu.iqDepartment of MathematicsCollege of Education for Pure SciencesUniversity of AnbarRamadi, IraqView full profile → , Ali Al-Fayadhali.hassan@nahrainuniv.edu.iqDepartment of Mathematics and Computer ApplicationsCollege of SciencesAl-Nahrain UniversityBaghdad, IraqView full profile →

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pp. 585–593Vol. 26Issue 4June 2023DOI: 10.47974/JIM-1463XML

Received:: 01 Jan 2022
Accepted:: 01 Mar 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1463
Pages:: 585–593

Abstract

In this work, we establish some results for fuzzy differential for analytic functions associated with the Hadamard product for generalization Srivastava-Attiya operator is defined in the open unit disc L = {w ∈ C: |w| < 1}. In the present paper, the operator is applied to a new class of analytic functions with the Hadamard product. The goal of this article is to study some properties of fuzzy differential subordination and fuzzy differential superordination of analytic functions related to the Hadamard product. Using double theories, a sandwich-type theorem was obtained.

Keywords

Univalent functions Analytic functions Starlike functions Hadamard product Fuzzy differential subordination Fuzzy differential superordination

Subject Classifications

Primary 93A30Secondary 49K15

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