Entire function sharing two polynomials with its $k$th derivative
Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 87-103
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
DOI :
10.21136/MB.2023.0017-22
Classification :
30D35, 30D45
Keywords: meromorphic function; derivative; Nevanlinna theory; uniqueness
Keywords: meromorphic function; derivative; Nevanlinna theory; uniqueness
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author = {Majumder, Sujoy and Sarkar, Nabadwip},
title = {Entire function sharing two polynomials with its $k$th derivative},
journal = {Mathematica Bohemica},
pages = {87--103},
year = {2024},
volume = {149},
number = {1},
doi = {10.21136/MB.2023.0017-22},
mrnumber = {4715559},
zbl = {07830546},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0017-22/}
}
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%0 Journal Article %A Majumder, Sujoy %A Sarkar, Nabadwip %T Entire function sharing two polynomials with its $k$th derivative %J Mathematica Bohemica %D 2024 %P 87-103 %V 149 %N 1 %U http://geodesic.mathdoc.fr/articles/10.21136/MB.2023.0017-22/ %R 10.21136/MB.2023.0017-22 %G en %F 10_21136_MB_2023_0017_22
Majumder, Sujoy; Sarkar, Nabadwip. Entire function sharing two polynomials with its $k$th derivative. Mathematica Bohemica, Tome 149 (2024) no. 1, pp. 87-103. doi: 10.21136/MB.2023.0017-22
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