Uniqueness of Meromorphic Functions Concerning the Difference Polynomials

- Journal title : Kyungpook mathematical journal
- Volume 55, Issue 2, 2015, pp.411-427
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2015.55.2.411

Title & Authors

Uniqueness of Meromorphic Functions Concerning the Difference Polynomials

LIU, FANGHONG; YI, HONGXUN;

LIU, FANGHONG; YI, HONGXUN;

Abstract

In this article, we main study the uniqueness problem of meromorphic function which difference polynomials sharing common values. We consider the entire function and the meromorphic function to get the main results which extend Theorem 1.1 in paper[5] and theorem 1.4 in paper[6].

Keywords

meromorphic functions;difference polynomials;uniqueness;sharing common value;

Language

English

Cited by

References

1.

C. C. Yangand H. X. Yi, Uniqueness Theory of Meromorphic Functions, Kluwer Academic Publishers, Dordrecht, 2003.

2.

X. G. Qi, L. Z. Yang and K. Liu, Uniqueness and periodicity of meromorphic functions concerning the difference operator, Computer and Mathematics with Applications., 60(2010), 1739-1746.

3.

C, Y. Fang. and M, L. Fang., Uniqueness of meromorphic functions and differential polynomials, Comput. Math. Appl., 44(2002), 607-617.

4.

SS Bhoosnurmathand SR Kabbur, Value Distribution and Uniqueness Theorems for Difference of Entire and Meromorphic Functions, International Journal of Analysis and Applications, 2013, 124-136.

5.

Keyu Zhang, Hongxun Yi, the Value Distribution and Uniqueness of one Certain Type of Differental-Difference Polynomials, Acta Mathematica Scientis Series Manuscript, 34B(3)(2014), 719-728.

6.

Li, Yi and Li, Value distribution of certain difference polynomials of meromorphic functions, Rocky Mountain J. Math. Volume forthcoming, Number forthcoming (2013).

7.

Monhon'ko A, The Nevalinna characteristics of certain meromorphic function [J], Teor Funksii Funktsional Anal I Prilozhen, 1971, 14:83-87 (in Russian).

8.

JL Zhang and LZ Yang, Some results related to a conjecture of R, Brck. J. Inequal. Pure Appl. Math., 2007.

9.

Chen M R and Chen Z X, Properties of Difference Polynomials of Entire Functions with Finite Order, Chinese Annals of Mathematics, 33A(3)(2012), 359-374 (in chinese).

10.

R. G. Halburd and R. Korhonen., Difference analogue of the lemma on the logarithmic derivative with applications to difference equations, J. Math. Anal. Appl., 314(2006), 477C487.

11.

Xiao Min Li and Hong Xun Yi, Entire Functions Sharing an Entire Function of Smaller Order with Their Difference Operators, Acta Mathematica Sinica, English Series Mar., 30(3)(2014), 481C498.

12.

Zhang R R and Chen Z X, Value distribution Difference Polynomials of meromorphic functions, Chinese Science, Mathematics: Mathematics, 42(11)(2012), 1115-1130(in chinese).

13.

Xiao-Min Li, Hong-Xun Yi and Yue Shi, Value Sharing of Certain Differential Polynomials and Their Shifts of Meromorphic Functions, Comput. Methods Funct. Theory DOI 10.1007/s40315-014-0048-0 2014.

14.

Xudan Luo and Weichuan Lin., Value sharing results for shifts of meromorphic functions, J. Math. Anal.Appl. 377(2011),441C449.

15.

Raj Shree Dhar., Uniqueness Theorems on Meromorphic Functions and their Difference Operators, Int. Journal of Math. Analysis, 7(3)(2013), 1489-1495.

16.

Baoqin Chen, Zongxuan Chen and Sheng Li, Uniqueness of difference operators of meromorphic functions, Journal of Inequalities and Applications 2012, 2012:48.