Uniqueness of an entire function sharing two values jointly with its differential polynomials

Goutam Haldar

Uniqueness of an entire function sharing two values jointly with its differential polynomials

Complex Variables 2021-07-14 v1

Authors: Goutam Haldar

Abstract

In this paper, we continue to investigate the uniqueness problem when an entire function $f$ and its linear differential polynomial $L(f)$ share two distinct complex values CMW (counting multiplicities in the weak sense) jointly. Also, We investigate the same problem when $f$ and its differential monomial $M(f)$ share two distinct complex values CMW. Our results generalize the recent result of Lahiri (Comput. Methods Funct. Theory, https://doi.org/10.1007/s40315-020-00355-4).

Keywords

polynomial theory

Cite

@article{arxiv.2107.05705,
  title  = {Uniqueness of an entire function sharing two values jointly with its differential polynomials},
  author = {Goutam Haldar},
  journal= {arXiv preprint arXiv:2107.05705},
  year   = {2021}
}

Comments

17 pages

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