Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator

Ekram E. Ali; Miguel Vivas-Cortez; Rabha M. El-Ashwah; Abeer M. Albalahi

doi:10.3390/fractalfract8060308

Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator

Ekram E. Ali
, Miguel Vivas-Cortez^*
, Rabha M. El-Ashwah
, Abeer M. Albalahi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

The concept of subordination is expanded in this study from the fuzzy sets theory to the geometry theory of analytic functions with a single complex variable. This work aims to clarify fuzzy subordination as a notion and demonstrate its primary attributes. With this work’s assistance, new fuzzy differential subordinations will be presented. The first theorems lead to intriguing corollaries for specific aspects chosen to exhibit fuzzy best dominance. The work introduces a new integral operator for meromorphic functions and uses the newly developed integral operator, which is starlike and convex, respectively, to obtain conclusions on fuzzy differential subordination.

Original language	English
Article number	308
Journal	Fractal and Fractional
Volume	8
Issue number	6
DOIs	https://doi.org/10.3390/fractalfract8060308
State	Published - Jun 2024

Bibliographical note

Publisher Copyright:
© 2024 by the authors.

Funding

Pontificia Universidad Catolica del Ecuador, Proyecto Titulo: “Algunos resultados Cualitativos Sobre Ecuaciones diferenciales fraccionales y desigualdades integrales” Cod UIO2022.

Funders	Funder number
Pontifical Catholic University of Ecuador	UIO2022

Keywords

convolution
fuzzy best dominant
fuzzy differential subordination
linear operator
meromorphic function

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10.3390/fractalfract8060308

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title = "Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator",

abstract = "The concept of subordination is expanded in this study from the fuzzy sets theory to the geometry theory of analytic functions with a single complex variable. This work aims to clarify fuzzy subordination as a notion and demonstrate its primary attributes. With this work{\textquoteright}s assistance, new fuzzy differential subordinations will be presented. The first theorems lead to intriguing corollaries for specific aspects chosen to exhibit fuzzy best dominance. The work introduces a new integral operator for meromorphic functions and uses the newly developed integral operator, which is starlike and convex, respectively, to obtain conclusions on fuzzy differential subordination.",

keywords = "convolution, fuzzy best dominant, fuzzy differential subordination, linear operator, meromorphic function",

author = "Ali, \{Ekram E.\} and Miguel Vivas-Cortez and El-Ashwah, \{Rabha M.\} and Albalahi, \{Abeer M.\}",

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month = jun,

doi = "10.3390/fractalfract8060308",

language = "English",

volume = "8",

journal = "Fractal and Fractional",

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AU - Ali, Ekram E.

AU - Vivas-Cortez, Miguel

AU - El-Ashwah, Rabha M.

AU - Albalahi, Abeer M.

PY - 2024/6

Y1 - 2024/6

N2 - The concept of subordination is expanded in this study from the fuzzy sets theory to the geometry theory of analytic functions with a single complex variable. This work aims to clarify fuzzy subordination as a notion and demonstrate its primary attributes. With this work’s assistance, new fuzzy differential subordinations will be presented. The first theorems lead to intriguing corollaries for specific aspects chosen to exhibit fuzzy best dominance. The work introduces a new integral operator for meromorphic functions and uses the newly developed integral operator, which is starlike and convex, respectively, to obtain conclusions on fuzzy differential subordination.

AB - The concept of subordination is expanded in this study from the fuzzy sets theory to the geometry theory of analytic functions with a single complex variable. This work aims to clarify fuzzy subordination as a notion and demonstrate its primary attributes. With this work’s assistance, new fuzzy differential subordinations will be presented. The first theorems lead to intriguing corollaries for specific aspects chosen to exhibit fuzzy best dominance. The work introduces a new integral operator for meromorphic functions and uses the newly developed integral operator, which is starlike and convex, respectively, to obtain conclusions on fuzzy differential subordination.

KW - convolution

KW - fuzzy best dominant

KW - fuzzy differential subordination

KW - linear operator

KW - meromorphic function

UR - https://www.scopus.com/pages/publications/85196887791

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DO - 10.3390/fractalfract8060308

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SN - 2504-3110

VL - 8

JO - Fractal and Fractional

JF - Fractal and Fractional

IS - 6

M1 - 308

ER -

Fuzzy Subordination Results for Meromorphic Functions Connected with a Linear Operator

Abstract

Bibliographical note

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Keywords

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