Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials
Mathematica Bohemica, Tome 145 (2020) no. 3, pp. 281-304
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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).
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).
DOI :
10.21136/MB.2019.0010-18
Classification :
30D30, 30D35
Keywords: uniqueness; meromorphic function; small function; nonlinear differential polynomial; normal family
Keywords: uniqueness; meromorphic function; small function; nonlinear differential polynomial; normal family
@article{10_21136_MB_2019_0010_18,
author = {Majumder, Sujoy and Mandal, Rajib},
title = {Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials},
journal = {Mathematica Bohemica},
pages = {281--304},
year = {2020},
volume = {145},
number = {3},
doi = {10.21136/MB.2019.0010-18},
mrnumber = {4221835},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0010-18/}
}
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 SP - 281 EP - 304 VL - 145 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0010-18/ DO - 10.21136/MB.2019.0010-18 LA - en ID - 10_21136_MB_2019_0010_18 ER -
%0 Journal Article %A Majumder, Sujoy %A Mandal, Rajib %T Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials %J Mathematica Bohemica %D 2020 %P 281-304 %V 145 %N 3 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2019.0010-18/ %R 10.21136/MB.2019.0010-18 %G en %F 10_21136_MB_2019_0010_18
Majumder, Sujoy; Mandal, Rajib. Uniqueness of meromorphic functions concerning value sharing of nonlinear differential monomials. Mathematica Bohemica, Tome 145 (2020) no. 3, pp. 281-304. doi: 10.21136/MB.2019.0010-18
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