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

Ekram Elsayed Ali, Miguel Vivas-Cortez*, Shujaat Ali Shah*, Abeer M. Albalahi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageEnglish
Article number3968
JournalMathematics
Volume11
Issue number18
DOIs
StatePublished - 19 Sep 2023

Bibliographical note

Publisher Copyright:
© 2023 by the authors.

Keywords

  • analytic functions
  • fuzzy differential subordination
  • generalized Srivastava-Attiya operator
  • p-valent functions

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