Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials

Sujoy Majumder; Rajib Mandal

Mathematica Bohemica (2020)

  • Volume: 145, Issue: 3, page 281-304
  • ISSN: 0862-7959

Abstract

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With the idea of normal family we study the uniqueness of meromorphic functions f and g when f n ( f ( k ) ) m - p and g n ( g ( k ) ) m - p share two values, where p is any nonzero polynomial. The result of this paper significantly improves and generalizes the result due to A. Banerjee and S. Majumder (2018).

How to cite

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Majumder, Sujoy, and Mandal, Rajib. "Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials." Mathematica Bohemica 145.3 (2020): 281-304. <http://eudml.org/doc/297159>.

@article{Majumder2020,
abstract = {With the idea of normal family we study the uniqueness of meromorphic functions $f$ and $g$ when $f^\{n\}(f^\{(k)\})^\{m\}-p$ and $g^\{n\}(g^\{(k)\})^\{m\}-p$ share two values, where $p$ is any nonzero polynomial. The result of this paper significantly improves and generalizes the result due to A. Banerjee and S. Majumder (2018).},
author = {Majumder, Sujoy, Mandal, Rajib},
journal = {Mathematica Bohemica},
keywords = {uniqueness; meromorphic function; small function; nonlinear differential polynomial; normal family},
language = {eng},
number = {3},
pages = {281-304},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials},
url = {http://eudml.org/doc/297159},
volume = {145},
year = {2020},
}

TY - JOUR
AU - Majumder, Sujoy
AU - Mandal, Rajib
TI - Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials
JO - Mathematica Bohemica
PY - 2020
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 145
IS - 3
SP - 281
EP - 304
AB - With the idea of normal family we study the uniqueness of meromorphic functions $f$ and $g$ when $f^{n}(f^{(k)})^{m}-p$ and $g^{n}(g^{(k)})^{m}-p$ share two values, where $p$ is any nonzero polynomial. The result of this paper significantly improves and generalizes the result due to A. Banerjee and S. Majumder (2018).
LA - eng
KW - uniqueness; meromorphic function; small function; nonlinear differential polynomial; normal family
UR - http://eudml.org/doc/297159
ER -

References

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