Partial sharing and cross sharing of entire function with its derivative
Complex Variables
2025-09-25 v1
Abstract
In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with it's linear differential polynomial and obtain a result, which improves several previous results in a large scale. Also in the paper we include some applications of our main result. Moreover, we solve the question raised by Wang and Liu (Value cross-sharing of meromorphic functions, Comput. Methods Funct. Theory (2023). https://doi.org/10.1007/s40315-023-00481-9) for a special case related to value cross-sharing.
Cite
@article{arxiv.2509.20273,
title = {Partial sharing and cross sharing of entire function with its derivative},
author = {Sujoy Majumder and Nabadwip Sarkar and Debabrata Pramanik},
journal= {arXiv preprint arXiv:2509.20273},
year = {2025}
}
Comments
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