A note on some results of Li and Li
Mathematica Bohemica (2018)
- Volume: 143, Issue: 3, page 277-289
- ISSN: 0862-7959
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topMajumder, Sujoy, and Saha, Somnath. "A note on some results of Li and Li." Mathematica Bohemica 143.3 (2018): 277-289. <http://eudml.org/doc/294800>.
@article{Majumder2018,
abstract = {The purpose of the paper is to study the uniqueness problems of linear differential polynomials of entire functions sharing a small function and obtain some results which improve and generalize the related results due to J. T. Li and P. Li (2015). Basically we pay our attention to the condition $\lambda (f)\ne 1$ in Theorems 1.3, 1.4 from J. T. Li and P. Li (2015). Some examples have been exhibited to show that conditions used in the paper are sharp.},
author = {Majumder, Sujoy, Saha, Somnath},
journal = {Mathematica Bohemica},
keywords = {entire function; linear differential polynomial; uniqueness},
language = {eng},
number = {3},
pages = {277-289},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {A note on some results of Li and Li},
url = {http://eudml.org/doc/294800},
volume = {143},
year = {2018},
}
TY - JOUR
AU - Majumder, Sujoy
AU - Saha, Somnath
TI - A note on some results of Li and Li
JO - Mathematica Bohemica
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 143
IS - 3
SP - 277
EP - 289
AB - The purpose of the paper is to study the uniqueness problems of linear differential polynomials of entire functions sharing a small function and obtain some results which improve and generalize the related results due to J. T. Li and P. Li (2015). Basically we pay our attention to the condition $\lambda (f)\ne 1$ in Theorems 1.3, 1.4 from J. T. Li and P. Li (2015). Some examples have been exhibited to show that conditions used in the paper are sharp.
LA - eng
KW - entire function; linear differential polynomial; uniqueness
UR - http://eudml.org/doc/294800
ER -
References
top- Banerjee, A., 10.1155/IJMMS.2005.3587, Int. J. Math. Math. Sci. 22 (2005), 3587-3598. (2005) Zbl1093.30024MR2205158DOI10.1155/IJMMS.2005.3587
- Hayman, W. K., Meromorphic Functions, Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). (1964) Zbl0115.06203MR0164038
- Herold, H., Differentialgleichungen im Komplexen, Studia Mathematica. Skript 2. Vandenhoeck & Ruprecht, Göttingen (1975). (1975) Zbl03505407MR0470293
- Hua, X. H., 10.1112/blms/22.5.457, Bull. Lond. Math. Soc. 22 (1990), 457-462. (1990) Zbl0714.30030MR1082015DOI10.1112/blms/22.5.457
- Lahiri, I., Uniqueness of meromorphic functions as governed by their differential polynomials, Yokohama Math. J. 44 (1997), 147-156. (1997) Zbl0884.30023MR1453358
- Lahiri, I., 10.1080/17476930108815411, Complex Variables, Theory Appl. 46 (2001), 241-253. (2001) Zbl1025.30027MR1869738DOI10.1080/17476930108815411
- Laine, I., Nevanlinna Theory and Complex Differential Equations, De Gruyter Studies in Mathematics 15. Walter de Gruyter, Berlin (1993). (1993) Zbl0784.30002MR1207139
- Li, J.-T., Li, P., 10.4134/CKMS.2015.30.2.093, Commun. Korean Math. Soc. 30 (2015), 93-101. (2015) Zbl1320.30059MR3346483DOI10.4134/CKMS.2015.30.2.093
- Mues, E., Reinders, M., 10.1080/17476939708815045, Complex Variables, Theory Appl. 34 (1997), 171-179. (1997) Zbl0948.30036MR1473597DOI10.1080/17476939708815045
- Shibazaki, K., Unicity theorems for entire functions of finite order, Mem. Natl. Def. Acad. 21 (1981), 67-71. (1981) Zbl0507.30022MR1262958
- Yang, C. C., 10.1016/0022-247X(76)90002-0, J. Math. Anal. Appl. 56 (1976), 1-6. (1976) Zbl0338.30018MR0419761DOI10.1016/0022-247X(76)90002-0
- Yang, C. C., Yi, H. X., On the unicity theorem for meromorphic functions with deficient values, Acta Math. Sin. 37 (1994), 62-72 Chinese. (1994) Zbl0804.30026MR1272506
- Yang, C. C., Yi, H. X., Uniqueness Theory of Meromorphic Functions, Mathematics and Its Applications 557. Kluwer Academic Publishers, Dordrecht (2003). (2003) Zbl1070.30011MR2105668
- Yi, H. X., 10.2996/kmj/1138039158, Kodai Math. J. 13 (1990), 39-46. (1990) Zbl0707.30022MR1047593DOI10.2996/kmj/1138039158
- Yi, H. X., 10.1080/17476939008814415, Complex Variables, Theory Appl. 14 (1990), 169-176. (1990) Zbl0701.30025MR1048716DOI10.1080/17476939008814415
- Yi, H. X., 10.1080/17476939508814833, Complex Variables, Theory Appl. 28 (1995), 1-11. (1995) Zbl0841.30027MR1700258DOI10.1080/17476939508814833
- Zhang, J.-L., Yang, L.-Z., Some results related to a conjecture of R. Brück, JIPAM J. Inequal. Pure Appl. Math. 8 (2007), Article No. 18, 11 pages. (2007) Zbl1136.30009MR2295712
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