Generalizations on the results of Cao and Zhang

Sujoy Majumder; Rajib Mandal

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 1, page 65-94
  • ISSN: 0862-7959

Abstract

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We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials P ( f ) ∏ i = 1 k ( f ( i ) ) n i and P ( g ) ∏ i = 1 k ( g ( i ) ) n i share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp.

How to cite

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Majumder, Sujoy, and Mandal, Rajib. "Generalizations on the results of Cao and Zhang." Mathematica Bohemica 147.1 (2022): 65-94. <http://eudml.org/doc/298134>.

@article{Majumder2022,
abstract = {We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials $P(f)\prod _\{i=1\}^\{k\}(f^\{(i)\})^\{n_\{i\}\}$ and $P(g)\prod _\{i=1\}^\{k\}(g^\{(i)\})^\{n_\{i\}\}$ share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp.},
author = {Majumder, Sujoy, Mandal, Rajib},
journal = {Mathematica Bohemica},
keywords = {meromorphic function; uniqueness; weighted sharing; differential polynomial},
language = {eng},
number = {1},
pages = {65-94},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalizations on the results of Cao and Zhang},
url = {http://eudml.org/doc/298134},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Majumder, Sujoy
AU - Mandal, Rajib
TI - Generalizations on the results of Cao and Zhang
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 1
SP - 65
EP - 94
AB - We establish some uniqueness results for meromorphic functions when two nonlinear differential polynomials $P(f)\prod _{i=1}^{k}(f^{(i)})^{n_{i}}$ and $P(g)\prod _{i=1}^{k}(g^{(i)})^{n_{i}}$ share a nonzero polynomial with certain degree and our results improve and generalize some recent results in Y.-H. Cao, X.-B. Zhang (2012). Also we exhibit two examples to show that the conditions used in the results are sharp.
LA - eng
KW - meromorphic function; uniqueness; weighted sharing; differential polynomial
UR - http://eudml.org/doc/298134
ER -

References

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