Beta
345938

Class of Meromorphic Functions Related to New Operator

Article

Last updated: 29 Dec 2024

Subjects

-

Tags

Mathematical analysis.

Abstract

In this paper, using a meromorphic univalent function of the form f(z)=(1/(z-δ))+∑_{k=j}^{∞} a_{k}(z-δ)^{k}, with missing coefficients which has a simple pole at the point z= δ, 0≤δ<1, that is it is defined in U^{∗}=U\{δ}={z:z∈ℂ and 0<|z-δ|<1}, we note that for δ=0 we obtain the class ∑_{j} of meromorphic functions. We define a new operator analogue of that of Aouf et al. [2] for univalent analytic functions defined in the open unit dick U and introduce new class of meromorphic univalent functions which for different values of its parameters many special new classes can be obtained from it. For this class of functions we obtained some of its properties such as coefficient estimates, distortion theorem, the modified Hadamard product of two functions in it and also for function which its coefficients are the sum of the squares of the coefficients of two functions. Also we obtained analogue results of these results for each of the subclass obtained from this class.

DOI

10.21608/ejmaa.2024.263684.1120

Keywords

Meromorphic univalent functions, Hadamard products, distortion theorems, meromorphically starlike and convex functions

Authors

First Name

A. M.

Last Name

Yehia

MiddleName

-

Affiliation

Mathematics and Computer Science, Faculty of Science, Bani Suif University, Bani Suif, Egypt.

Email

abdelrahmnyehia@gmail.com

City

-

Orcid

-

First Name

S. M.

Last Name

Madian

MiddleName

-

Affiliation

Basic Science Dept. Higher, Instit. Eng. Tec., New Damietta, Egypt.

Email

samar-math@yahoo.com

City

-

Orcid

-

First Name

M. M.

Last Name

Tharwat

MiddleName

-

Affiliation

Dept. of Math. and Computer Sci., Faculty of Science, Beni Suef University, Egypt

Email

zahraa26@yahoo.com

City

-

Orcid

0000-0002-6036-344X

Volume

12

Article Issue

1

Related Issue

40409

Issue Date

2024-01-01

Receive Date

2024-01-18

Publish Date

2024-01-01

Page Start

1

Page End

10

Print ISSN

3009-6731

Online ISSN

2090-729X

Link

https://ejmaa.journals.ekb.eg/article_345938.html

Detail API

https://ejmaa.journals.ekb.eg/service?article_code=345938

Order

345,938

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

Class of Meromorphic Functions Related to New Operator

Details

Type

Article

Created At

18 Dec 2024