Nonlinear differential monomials sharing two values

Sujoy Majumder

Mathematica Bohemica (2016)

  • Volume: 141, Issue: 3, page 339-361
  • ISSN: 0862-7959

Abstract

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Using the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely h n h ( k ) ( h = f , g ) sharing a nonzero polynomial of degree less than or equal to 3 with finite weight have common poles and obtain two results. The results in this paper significantly rectify, improve and generalize the results due to Cao and Zhang (2012).

How to cite

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Majumder, Sujoy. "Nonlinear differential monomials sharing two values." Mathematica Bohemica 141.3 (2016): 339-361. <http://eudml.org/doc/286835>.

@article{Majumder2016,
abstract = {Using the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely $\smash\{h^\{n\}h^\{(k)\}\}$$(h=f,g)$ sharing a nonzero polynomial of degree less than or equal to $3$ with finite weight have common poles and obtain two results. The results in this paper 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 = {3},
pages = {339-361},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonlinear differential monomials sharing two values},
url = {http://eudml.org/doc/286835},
volume = {141},
year = {2016},
}

TY - JOUR
AU - Majumder, Sujoy
TI - Nonlinear differential monomials sharing two values
JO - Mathematica Bohemica
PY - 2016
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 141
IS - 3
SP - 339
EP - 361
AB - Using the notion of weighted sharing of values which was introduced by Lahiri (2001), we deal with the uniqueness problem for meromorphic functions when two certain types of nonlinear differential monomials namely $\smash{h^{n}h^{(k)}}$$(h=f,g)$ sharing a nonzero polynomial of degree less than or equal to $3$ with finite weight have common poles and obtain two results. The results in this paper 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/286835
ER -

References

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