Uniqueness of entire function concerning derivatives and shifts
Complex Variables
2025-10-14 v1
Abstract
In the paper, we investigate the uniqueness problem of entire function concerning its derivative and shift and obtain two results. On of our result solves the open problem posed by Majumder et al. (On a conjecture of Li and Yang, Hiroshima Math. J., 53 (2023), 199-223) and the other result improves and generalizes the recent result due to Huang and Fang (Unicity of entire functions concerning their shifts and derivatives, Comput. Methods Funct. Theory, 21 (2021), 523-532) in a large extend.
Cite
@article{arxiv.2510.10275,
title = {Uniqueness of entire function concerning derivatives and shifts},
author = {Sujoy Majumder and Nabadwip Sarkar},
journal= {arXiv preprint arXiv:2510.10275},
year = {2025}
}
Comments
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