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345427

ON Q-SHIFT DIFFERENCE-DIFFERENTIAL POLYNOMIALS OF ENTIRE FUNCTIONS THAT SHARE ONE VALUE

Article

Last updated: 29 Dec 2024

Subjects

-

Tags

Complex Analysis

Abstract

In this article we addresses the product of q-shift difference of transcendental entire functions. We primarily examine the zero distribution of the q-shift difference-differential polynomials of transcendental entire functions while simultaneously preparing the answers to the uniqueness problem in the case where the q-shift difference-differential polynomials of transcendental entire functions share a constant value. The findings are based on I. Lahiri's \cite{9,10} introduction of the concept of weighted sharing. The theory of Picard's exceptional value play an effective role for finding of our the results. To discuss our results we create certain polynomial equation and analysed entire results of the article applying the theory of simple and multiple zeros of polynomial equation. We broadly elaborate our results with remark and corollary, and give an excellent example for proper justification of our results. Some open problems are generated from our results for future research. We extend and improve the results of R.S.Dyavanal and A.M.Hatticat \cite{4}, and generalized the result of P. Sahoo and G. Biswas \cite{21} in effective manner.

DOI

10.21608/jfca.2024.244952.1045

Keywords

Difference differential polynomials, Q-shift, Picard's exceptional values, Zero order, Uniqueness

Authors

First Name

Abhijit

Last Name

Shaw

MiddleName

-

Affiliation

Balagarh High School, Assistant Teacher, Department of Mathematics, Balagarh, Hooghly, WB, India-712136

Email

ashaw2912@gmail.com

City

-

Orcid

-

Volume

15

Article Issue

1

Related Issue

44333

Issue Date

2024-01-01

Receive Date

2023-10-27

Publish Date

2024-01-01

Page Start

1

Page End

16

Print ISSN

2090-584X

Online ISSN

2090-5858

Link

https://jfca.journals.ekb.eg/article_345427.html

Detail API

https://jfca.journals.ekb.eg/service?article_code=345427

Order

9

Type

Regular research papers

Type Code

2,646

Publication Type

Journal

Publication Title

Journal of Fractional Calculus and Applications

Publication Link

https://jfca.journals.ekb.eg/

MainTitle

ON Q-SHIFT DIFFERENCE-DIFFERENTIAL POLYNOMIALS OF ENTIRE FUNCTIONS THAT SHARE ONE VALUE

Details

Type

Article

Created At

18 Dec 2024