416785

Convolution Results for Subclasses of Multivalent Meromorphic Functions of Complex Order Involving an Integral Operator

Article

Last updated: 29 Mar 2025

Subjects

-

Tags

Mathematical analysis.

Abstract

In the paper, we will define a new integral operator of meromorphic p-valent functions, by using this operator we introduce subclasses of meromorphic p-valent functions. And if we take different values for this operator, we will get new classes of meromorphic p-valent functions.The integral operator J_{p}^{m}(μ,α) is a specific integral transform used in mathematical analysis, particularly in connection with solving certain differential equations and studying properties of functions. The study of Multivalent Meromorphic functions in connection with the integral operator J_{p}^{m}(μ,α) involves analyzing how the operator affects the analytic properties of functions, ensuring convergence, and understanding the behavior. These properties are crucial for applications in various branches of mathematics, including differential equations, harmonic analysis, and integral transforms. This paper aims to investigate convolution properties, coefficient estimates and containment properties for these subclasses with the integral operator J_{p}^{m}(μ,α) within U^{∗}={ϑ∈ℂ:0<|ϑ|<1}=U\{δ}. We will establish fundamental properties such as coefficient inequalities, integral means inequalities and subordination results for these subclasses.

DOI

10.21608/ejmaa.2025.355261.1315

Keywords

Meromorphic p-valent functions, Hadamard product, integral operator, subordination, coefficient estimates

Authors

First Name

Zeinab

Last Name

Saleh

MiddleName

M.

Affiliation

Higher Technological Institute in the tenth of Ramadan

Email

zeinabnsar2@gmail.com

City

-

Orcid

0009-0009-1202-7714

First Name

Adela

Last Name

Mostafa

MiddleName

O.

Affiliation

Math. Dept., Faculty of Science, Mansoura University

Email

adelaeg254@yahoo.com

City

Mansoura

Orcid

0000-0002-3911-0990

First Name

samer

Last Name

madian

MiddleName

M.

Affiliation

Basic Science Dept., Higher Institute for, Engineering and Technology, New Damietta, Egypt

Email

samar_math@yahoo.com

City

-

Orcid

0000-0001-7490-9901

Volume

13

Article Issue

2

Related Issue

54249

Issue Date

2025-07-01

Receive Date

2025-01-25

Publish Date

2025-07-01

Page Start

1

Page End

7

Print ISSN

3009-6731

Online ISSN

2090-729X

Link

https://ejmaa.journals.ekb.eg/article_416785.html

Detail API

http://journals.ekb.eg?_action=service&article_code=416785

Order

416,785

Type

Regular research papers

Type Code

2,651

Publication Type

Journal

Publication Title

Electronic Journal of Mathematical Analysis and Applications

Publication Link

https://ejmaa.journals.ekb.eg/

MainTitle

Convolution Results for Subclasses of Multivalent Meromorphic Functions of Complex Order Involving an Integral Operator

Details

Type

Article

Created At

29 Mar 2025