Entire function sharing two polynomials with its k th derivative

Sujoy Majumder; Nabadwip Sarkar

Mathematica Bohemica (2024)

  • Issue: 1, page 87-103
  • ISSN: 0862-7959

Abstract

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We investigate the uniqueness problem of entire functions that share two polynomials with their k th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.

How to cite

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Majumder, Sujoy, and Sarkar, Nabadwip. "Entire function sharing two polynomials with its $k$th derivative." Mathematica Bohemica (2024): 87-103. <http://eudml.org/doc/299224>.

@article{Majumder2024,
abstract = {We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.},
author = {Majumder, Sujoy, Sarkar, Nabadwip},
journal = {Mathematica Bohemica},
keywords = {meromorphic function; derivative; Nevanlinna theory; uniqueness},
language = {eng},
number = {1},
pages = {87-103},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Entire function sharing two polynomials with its $k$th derivative},
url = {http://eudml.org/doc/299224},
year = {2024},
}

TY - JOUR
AU - Majumder, Sujoy
AU - Sarkar, Nabadwip
TI - Entire function sharing two polynomials with its $k$th derivative
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
IS - 1
SP - 87
EP - 103
AB - We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.
LA - eng
KW - meromorphic function; derivative; Nevanlinna theory; uniqueness
UR - http://eudml.org/doc/299224
ER -

References

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