English

On uniqueness of two meromorphic functions sharing a small function

Complex Variables 2019-07-01 v1

Abstract

In this paper, we have investigated the uniqueness problems of entire and meromorphic functions concerning differential polynomials sharing a small function. Our results radically extended and improved the results of Bhoosnurmath-Pujari and Harina - Anand not only by sharing small function instead of fixed point but also reducing the lower bound of n n . The authors Harina-Anand made plenty of mistakes in their paper. We have corrected all of them in a more convenient way. At last some open questions have been posed for further study in this direction.

Keywords

Cite

@article{arxiv.1906.12046,
  title  = {On uniqueness of two meromorphic functions sharing a small function},
  author = {Molla Basir Ahamed},
  journal= {arXiv preprint arXiv:1906.12046},
  year   = {2019}
}
R2 v1 2026-06-23T10:06:21.629Z