april 2024 On the uniqueness problems of entire functions and their linear differential polynomials
Sujoy Majumder, Nabadwip Sarkar, Pradip Das
Bull. Belg. Math. Soc. Simon Stevin 31(1): 70-86 (april 2024). DOI: 10.36045/j.bbms.231009

Abstract

We use the idea of normal family to investigate the uniqueness problems for entire functions: $f$ shares one finite non-zero value with its first derivative $f^{(1)}$ together with its certain type of linear differential polynomial $L(f)$ of constant coefficients. The results here improve and generalize results obtained by Yang, Li and Yang, and Li

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Sujoy Majumder. Nabadwip Sarkar. Pradip Das. "On the uniqueness problems of entire functions and their linear differential polynomials." Bull. Belg. Math. Soc. Simon Stevin 31 (1) 70 - 86, april 2024. https://doi.org/10.36045/j.bbms.231009

Information

Published: april 2024
First available in Project Euclid: 13 May 2024

Digital Object Identifier: 10.36045/j.bbms.231009

Subjects:
Primary: 30D35
Secondary: 30D455

Keywords: entire functions , linear differential polynomials , Nevanlinna theory , normal family , uniqueness

Rights: Copyright © 2024 The Belgian Mathematical Society

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Vol.31 • No. 1 • april 2024
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