Uniqueness results for differential polynomials sharing a set

Soniya Sultana; Pulak Sahoo

Mathematica Bohemica (2025)

  • Issue: 1, page 85-98
  • ISSN: 0862-7959

Abstract

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We investigate the uniqueness results of meromorphic functions if differential polynomials of the form $(Q(f))^{(k)}$ and $(Q(g))^{(k)}$ share a set counting multiplicities or ignoring multiplicities, where $Q$ is a polynomial of one variable. We give suitable conditions on the degree of $Q$ and on the number of zeros and the multiplicities of the zeros of $Q'$. The results of the paper generalize some results due to T. T. H. An and N. V. Phuong (2017) and that of N. V. Phuong (2021).

How to cite

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Sultana, Soniya, and Sahoo, Pulak. "Uniqueness results for differential polynomials sharing a set." Mathematica Bohemica (2025): 85-98. <http://eudml.org/doc/299891>.

@article{Sultana2025,
abstract = {We investigate the uniqueness results of meromorphic functions if differential polynomials of the form $(Q(f))^\{(k)\}$ and $(Q(g))^\{(k)\}$ share a set counting multiplicities or ignoring multiplicities, where $Q$ is a polynomial of one variable. We give suitable conditions on the degree of $Q$ and on the number of zeros and the multiplicities of the zeros of $Q'$. The results of the paper generalize some results due to T. T. H. An and N. V. Phuong (2017) and that of N. V. Phuong (2021).},
author = {Sultana, Soniya, Sahoo, Pulak},
journal = {Mathematica Bohemica},
language = {eng},
number = {1},
pages = {85-98},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Uniqueness results for differential polynomials sharing a set},
url = {http://eudml.org/doc/299891},
year = {2025},
}

TY - JOUR
AU - Sultana, Soniya
AU - Sahoo, Pulak
TI - Uniqueness results for differential polynomials sharing a set
JO - Mathematica Bohemica
PY - 2025
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 85
EP - 98
AB - We investigate the uniqueness results of meromorphic functions if differential polynomials of the form $(Q(f))^{(k)}$ and $(Q(g))^{(k)}$ share a set counting multiplicities or ignoring multiplicities, where $Q$ is a polynomial of one variable. We give suitable conditions on the degree of $Q$ and on the number of zeros and the multiplicities of the zeros of $Q'$. The results of the paper generalize some results due to T. T. H. An and N. V. Phuong (2017) and that of N. V. Phuong (2021).
LA - eng
UR - http://eudml.org/doc/299891
ER -

References

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