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http://dx.doi.org/10.14317/jami.2018.447

UNIQUENESS OF CERTAIN TYPES OF DIFFERENCE POLYNOMIALS  

MENG, CHAO (College of Science, Shenyang Aerospace University)
ZHAO, LIANG (College of Computer Science, Shenyang Aerospace University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.5_6, 2018 , pp. 447-458 More about this Journal
Abstract
In this paper, we investigate the uniqueness problems of certain types of difference polynomials sharing a small function. The results of the paper improve and generalize the recent results due to H.P. Waghamore [Tbilisi Math. J. 11(2018), 1-13], P. Sahoo and B. Saha [App. Math. E-Notes. 16(2016), 33-44].
Keywords
Difference polynomial; entire function; small function; uniqueness;
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1 A. Banerjee, On uniqueness for nonlinear differential polynomials sharing the same 1-point, Ann. Polon. Math. 89(2006), 259-272.   DOI
2 A. Banerjee, A uniqueness result on some differential polynomials saring 1-points, Hi-roshima Math. J. 37(2007), 397-408.
3 A. Banerjee, Nonlinear differential polynomials sharing one value, Demonstratio Math. 40(2007), 65-75.
4 A. Banerjee and S. Mukherjee, Nonlinear differential polynomials sharing a small function, Arch. Math.(Brno) 44(2008), 41-56.
5 P. Sahoo, Entire functions that share fixed points with finite weights, Bull. Belgian Math. Soc. Simon Stevin. 18(2011), 883-895.
6 P. Sahoo and B. Saha, Value distribution and uniqueness of certain type of difference polynomials, App. Math. E-Notes. 16(2016),33-44.
7 H.P. Waghamore, Generalization of value distribution and uniqueness of certain types of difference polynomials, Tbilisi Math. J. 11(2018), 1-13.   DOI
8 C.C. Yang and X.H. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math. 22(1997), 395-406.
9 L. Yang, Value distribution theory, Springer-Verlag, Berlin, 1993.
10 J.L. Zhang, Value distribution and shared sets of differences of meromorphic functions, J. Math. Anal. Appl. 367(2010), 401-408.   DOI
11 J.L. Zhang and L.Z. Yang, Some results related to a conjecture of R. Bruck, J. Inequal. Pure Appl. Math. 8(2007), Art. 18.
12 C. Meng, Uniqueness of entire functions concerning difference polynomials, Math. Bohem. 139(2014), 89-97.
13 P. Sahoo, Uniqueness and weighted sharing of entire functions, Kyungpook Math. J. 51(2011), 145-164.   DOI
14 W.K. Hayman, Meromorphic Functions, Clarendon, Oxford, 1964.
15 R.G. Halburd and R.J. Korhonen, Nevanlinna theory for the difference operator, Ann. Acad. Sci. Fenn. Math. 31(2006), 463-478.
16 R.G. Halburd and R.J. Korhonen, Difference analogue of the lemma on the logarithmic derivative with application to difference euqations, J. Math. Anal. Appl. 314(2006), 477-487.   DOI
17 I. Lahiri, Weighted sharing and uniqueness of meromorphic functions, Nagoya Math. J. 161(2001), 193-206.   DOI
18 I. Lahiri, Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points, Ann. Polon. Math. 71(1999), 113-128.   DOI
19 I. Lahiri, Linear differential polynomials share the same 1-points with weight two, Ann. Polon. Math. 79(2002), 157-170.   DOI
20 I. Lahiri and R. Pal, Non-linear differential polynomials sharing 1-points, Bull. Korean Math. Soc. 43(2006), 161-168.   DOI
21 C. Meng, Uniqueness for meromorphic functions concerning differential polynomials, Georgian Math. J. 15(2008), 731-738.
22 I. Lahiri and A. Sarkar, Nonlinear differential polynomials sharing 1-points with weighte two, Chinese J. Contemp. Math. 25(2004), 325-334.
23 M.R. Chen and Z.X. Chen, Properties of difference polynomials of entire functions with finite order, Chinese Ann. Math. Ser A. 33(2012), 359-374.
24 M.L. Fang and W. Hong, A unicity theorem for entire functions concerning differential polynomials, Indian J. Pure Appl. Math. 32(2001), 1343-1348.
25 W.C. Lin and H.X. Yi, Uniqueness theorems for meromorphic functions, Indian J. Pure Appl. Math. 35(2004), 121-132.
26 W.C. Lin and H.X. Yi, Uniqueness theorems for meromorphic functions concerning fixedpoints , Complex Var. Theory Appl. 49(2004), 793-806.
27 C. Meng, Uniqueness theorems for differential polynomials concerning fixed-points, Kyungpook Math. J. 48(2008), 25-35.   DOI
28 C. Meng, On unicity of meromorphic functions when two differential polynomials share one value, Hiroshima Math. J. 39(2009), 163-179.