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Title: A note on some results of Li and Li (English)
Author: Majumder, Sujoy
Author: Saha, Somnath
Language: English
Journal: Mathematica Bohemica
ISSN: 0862-7959 (print)
ISSN: 2464-7136 (online)
Volume: 143
Issue: 3
Year: 2018
Pages: 277-289
Summary lang: English
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Category: math
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Summary: 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 $\lambda (f)\not =1$ 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. (English)
Keyword: entire function
Keyword: linear differential polynomial
Keyword: uniqueness
MSC: 30D35
idZBL: Zbl 06940884
idMR: MR3852295
DOI: 10.21136/MB.2017.0106-16
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Date available: 2018-08-31T09:43:25Z
Last updated: 2020-07-01
Stable URL: http://hdl.handle.net/10338.dmlcz/147393
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Reference: [1] Banerjee, A.: Meromorphic functions sharing one value.Int. J. Math. Math. Sci. 22 (2005), 3587-3598. Zbl 1093.30024, MR 2205158, 10.1155/IJMMS.2005.3587
Reference: [2] Hayman, W. K.: Meromorphic Functions.Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). Zbl 0115.06203, MR 0164038
Reference: [3] Herold, H.: Differentialgleichungen im Komplexen.Studia Mathematica. Skript 2. Vandenhoeck & Ruprecht, Göttingen (1975). Zbl 03505407, MR 0470293
Reference: [4] Hua, X. H.: A unicity theorem for entire functions.Bull. Lond. Math. Soc. 22 (1990), 457-462. Zbl 0714.30030, MR 1082015, 10.1112/blms/22.5.457
Reference: [5] Lahiri, I.: Uniqueness of meromorphic functions as governed by their differential polynomials.Yokohama Math. J. 44 (1997), 147-156. Zbl 0884.30023, MR 1453358
Reference: [6] Lahiri, I.: Weighted value sharing and uniqueness of meromorphic functions.Complex Variables, Theory Appl. 46 (2001), 241-253. Zbl 1025.30027, MR 1869738, 10.1080/17476930108815411
Reference: [7] Laine, I.: Nevanlinna Theory and Complex Differential Equations.De Gruyter Studies in Mathematics 15. Walter de Gruyter, Berlin (1993). Zbl 0784.30002, MR 1207139
Reference: [8] Li, J.-T., Li, P.: Uniqueness of entire functions concerning differential polynomials.Commun. Korean Math. Soc. 30 (2015), 93-101. Zbl 1320.30059, MR 3346483, 10.4134/CKMS.2015.30.2.093
Reference: [9] Mues, E., Reinders, M.: On a question of C. C. Yang.Complex Variables, Theory Appl. 34 (1997), 171-179. Zbl 0948.30036, MR 1473597, 10.1080/17476939708815045
Reference: [10] Shibazaki, K.: Unicity theorems for entire functions of finite order.Mem. Natl. Def. Acad. 21 (1981), 67-71. Zbl 0507.30022, MR 1262958
Reference: [11] Yang, C. C.: On two entire functions which together with their first derivatives have the same zeros.J. Math. Anal. Appl. 56 (1976), 1-6. Zbl 0338.30018, MR 0419761, 10.1016/0022-247X(76)90002-0
Reference: [12] Yang, C. C., Yi, H. X.: On the unicity theorem for meromorphic functions with deficient values.Acta Math. Sin. 37 (1994), 62-72 Chinese. Zbl 0804.30026, MR 1272506
Reference: [13] Yang, C. C., Yi, H. X.: Uniqueness Theory of Meromorphic Functions.Mathematics and Its Applications 557. Kluwer Academic Publishers, Dordrecht (2003). Zbl 1070.30011, MR 2105668
Reference: [14] Yi, H. X.: A question of C. C. Yang on the uniqueness of entire functions.Kodai Math. J. 13 (1990), 39-46. Zbl 0707.30022, MR 1047593, 10.2996/kmj/1138039158
Reference: [15] Yi, H. X.: Uniqueness of meromorphic functions and a question of C. C. Yang.Complex Variables, Theory Appl. 14 (1990), 169-176. Zbl 0701.30025, MR 1048716, 10.1080/17476939008814415
Reference: [16] Yi, H. X.: Meromorphic functions that share one or two values.Complex Variables, Theory Appl. 28 (1995), 1-11. Zbl 0841.30027, MR 1700258, 10.1080/17476939508814833
Reference: [17] 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. Zbl 1136.30009, MR 2295712
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