Certain Results on Fuzzy p -Valent Functions Involving the Linear Operator

Ekram Elsayed Ali, Miguel Vivas-Cortez (), Shujaat Ali Shah () and Abeer M. Albalahi
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Ekram Elsayed Ali: Department of Mathematics, College of Science, University of Ha’il, Ha’il 81451, Saudi Arabia
Miguel Vivas-Cortez: Facultad de Ciencias Exactas y Naturales, Escuela de Ciencias Físicas y Matemáticas, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Quito 170143, Ecuador
Shujaat Ali Shah: Department of Mathematics and Statistics, Quaid-e-Awam University of Engineering, Science and Technology, 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 18, 1-10

Abstract: The idea of fuzzy differential subordination is a generalisation of the traditional idea of differential subordination that evolved in recent years as a result of incorporating the idea of fuzzy set into the field of geometric function theory. In this investigation, we define some general classes of p -valent analytic functions defined by the fuzzy subordination and generalizes the various classical results of the multivalent functions. Our main focus is to define fuzzy multivalent functions and discuss some interesting inclusion results and various other useful properties of some subclasses of fuzzy p -valent functions, which are defined here by means of a certain generalized Srivastava-Attiya operator. Additionally, links between the significant findings of this study and preceding ones are also pointed out.

Keywords: analytic functions; p -valent functions; fuzzy differential subordination; generalized Srivastava-Attiya operator (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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