Entire function sharing two polynomials with its th derivative
Sujoy Majumder; Nabadwip Sarkar
Mathematica Bohemica (2024)
- Volume: 149, Issue: 1, page 87-103
- ISSN: 0862-7959
Access Full Article
topAbstract
topHow to cite
topMajumder, Sujoy, and Sarkar, Nabadwip. "Entire function sharing two polynomials with its $k$th derivative." Mathematica Bohemica 149.1 (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},
volume = {149},
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
VL - 149
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
top- Brück, R., 10.1007/BF03322176, Result. Math. 30 (1996), 21-24. (1996) Zbl0861.30032MR1402421DOI10.1007/BF03322176
- Hayman, W. K., Meromorphic Functions, Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). (1964) Zbl0115.06203MR0164038
- Lahiri, I., 10.1080/17476930108815411, Complex Variables, Theory Appl. 46 (2001), 241-253. (2001) Zbl1025.30027MR1869738DOI10.1080/17476930108815411
- Laine, I., 10.1515/9783110863147, de Gruyter Studies in Mathematics 15. Walter de Gruyter, Berlin (1993). (1993) Zbl0784.30002MR1207139DOI10.1515/9783110863147
- Li, J., Yi, H., 10.1007/s00013-005-1619-0, Arch. Math. 87 (2006), 52-59. (2006) Zbl1104.30019MR2246406DOI10.1007/s00013-005-1619-0
- Lü, F., Xu, J., Chen, A., 10.1007/s00013-009-3075-8, Arch. Math. 92 (2009), 593-601. (2009) Zbl1179.30027MR2516165DOI10.1007/s00013-009-3075-8
- Lü, F., Yi, H., 10.4134/JKMS.2011.48.3.499, J. Korean Math. Soc. 48 (2011), 499-512. (2011) Zbl1232.30024MR2815888DOI10.4134/JKMS.2011.48.3.499
- Mues, E., Steinmetz, N., 10.1007/BF01303627, Manuscr. Math. 29 (1979), 195-206 German. (1979) Zbl0416.30028MR0545041DOI10.1007/BF01303627
- Rubel, L. A., Yang, C.-C., 10.1007/BFb0096830, Complex Analysis Lecture Notes in Mathematics 599. Springer, Berlin (1977), 101-103. (1977) Zbl0362.30026MR0460640DOI10.1007/BFb0096830
- Schiff, J. L., 10.1007/978-1-4612-0907-2, Universitext. Springer, New York (1993). (1993) Zbl0770.30002MR1211641DOI10.1007/978-1-4612-0907-2
- Yang, C.-C., Yi, H.-X., 10.1007/978-94-017-3626-8, Mathematics and Its Applications (Dordrecht) 557. Kluwer Academic, Dordrecht (2003). (2003) Zbl1070.30011MR2105668DOI10.1007/978-94-017-3626-8
- Yang, L.-Z., Zhang, J.-L., 10.1007/s00010-007-2913-7, Aequationes Math. 76 (2008), 140-150. (2008) Zbl1161.30022MR2443466DOI10.1007/s00010-007-2913-7
- Zhang, J.-L., Yang, L.-Z., 10.1016/j.camwa.2010.08.001, Comput. Math. Appl. 60 (2010), 2153-2160. (2010) Zbl1205.30033MR2719737DOI10.1016/j.camwa.2010.08.001
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.