On the generalization of two results of Cao and Zhang

Sujoy Majumder

Mathematica Bohemica (2017)

  • Volume: 142, Issue: 4, page 357-380
  • ISSN: 0862-7959

Abstract

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This paper studies the uniqueness of meromorphic functions f n ∏ i = 1 k ( f ( i ) ) n i and g n ∏ i = 1 k ( g ( i ) ) n i that share two values, where n , n k , k ∈ ℕ , n i ∈ ℕ ∪ { 0 } , i = 1 , 2 , ... , k - 1 . The results significantly rectify, improve and generalize the results due to Cao and Zhang (2012).

How to cite

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Majumder, Sujoy. "On the generalization of two results of Cao and Zhang." Mathematica Bohemica 142.4 (2017): 357-380. <http://eudml.org/doc/294246>.

@article{Majumder2017,
abstract = {This paper studies the uniqueness of meromorphic functions \[f^\{n\}\prod \_\{i=1\}^\{k\}(f^\{(i)\})^\{n\_\{i\}\}\quad \mbox\{and\}\quad g^\{n\}\prod \_\{i=1\}^\{k\}(g^\{(i)\})^\{n\_\{i\}\}\] that share two values, where $n, n_\{k\}, k\in \mathbb \{N\}$, $n_\{i\}\in \mathbb \{N\}\cup \lbrace 0\rbrace $, $i=1,2,\ldots ,k-1$. The results significantly rectify, improve and generalize the results due to Cao and Zhang (2012).},
author = {Majumder, Sujoy},
journal = {Mathematica Bohemica},
keywords = {uniqueness; meromorphic function; weighted sharing; nonlinear differential polynomials},
language = {eng},
number = {4},
pages = {357-380},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the generalization of two results of Cao and Zhang},
url = {http://eudml.org/doc/294246},
volume = {142},
year = {2017},
}

TY - JOUR
AU - Majumder, Sujoy
TI - On the generalization of two results of Cao and Zhang
JO - Mathematica Bohemica
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 142
IS - 4
SP - 357
EP - 380
AB - This paper studies the uniqueness of meromorphic functions \[f^{n}\prod _{i=1}^{k}(f^{(i)})^{n_{i}}\quad \mbox{and}\quad g^{n}\prod _{i=1}^{k}(g^{(i)})^{n_{i}}\] that share two values, where $n, n_{k}, k\in \mathbb {N}$, $n_{i}\in \mathbb {N}\cup \lbrace 0\rbrace $, $i=1,2,\ldots ,k-1$. The results significantly rectify, improve and generalize the results due to Cao and Zhang (2012).
LA - eng
KW - uniqueness; meromorphic function; weighted sharing; nonlinear differential polynomials
UR - http://eudml.org/doc/294246
ER -

References

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