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VALUE DISTRIBUTION AND UNIQUENESS ON q-DIFFERENCES OF MEROMORPHIC FUNCTIONS
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 Title & Authors
VALUE DISTRIBUTION AND UNIQUENESS ON q-DIFFERENCES OF MEROMORPHIC FUNCTIONS
Huang, Zhi-Bo;
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 Abstract
In this paper, by using the -difference analogue of lemma on the logarithmic derivative lemma to re-establish some estimates of Nevanlinna characteristics of , we deal with the value distribution and uniqueness of certain types of -difference polynomials.
 Keywords
uniqueness;q-difference polynomial;characteristic function;sharing value;
 Language
English
 Cited by
1.
Difference analogues of the second main theorem of zero-order meromorphic mappings for slowly moving targets, Asian-European Journal of Mathematics, 2017, 1850053  crossref(new windwow)
 References
1.
D. C. Barnett, R. G. Halburd, W. Morgan, and R. J. Korhonen, Nevanlinna theory for the q-difference operator and meromorphic solutions of q-difference equations, Proc. Roy. Soc. Edinburgh Sect. A 137 (2007), no. 3, 457-474. crossref(new window)

2.
Y. M. Chiang and S. J. Feng, On the Nevanlinna characteristic of f(z+$\eta$) and difference equations in the complex plane, Ramanujan J. 16 (2008), no. 1, 105-129. crossref(new window)

3.
Z. X. Chen, Value distribution of products of meromorphic functions and their differences, Taiwanese J. Math. 15 (2011), no. 4, 1411-1421. crossref(new window)

4.
Z. X. Chen, Z. B. Huang, and X. M. Zheng, On properties of difference polynomials, Acta Math. Sci. Ser. B Engl. Ed. 31 (2011), no. 2, 627-633.

5.
R. G. Halburd and R. J. Korhonen, Difference analogue of the lemma on the logarithmic derivative with applications to difference equations, J. Math. Anal. Appl. 314 (2006), no. 2, 477-487. crossref(new window)

6.
R. G. Halburd and R. J. Korhonen, Nevanlinna theory for the difference operator, Ann. Acad. Sci. Fenn. Math. 31 (2006), no. 2, 463-478.

7.
W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.

8.
J. Heittokangas, R. Korhonen, I. Laine, J. Rieppo, and J. Zhang, Value sharing results for shifts of meromorphic functions, and sufficient condition for periodicity, J. Math. Anal. Appl. 355 (2009), no. 1, 352-363. crossref(new window)

9.
I. Laine and C. C. Yang, Clunie theorems for difference and q-difference polynomials, J. Lond. Math. Soc. (2) 76 (2007), no. 3, 556-566. crossref(new window)

10.
I. Laine and C. C. Yang, Value distribution of difference polynomials, Proc. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 8, 148-151. crossref(new window)

11.
X. D. Luo and W. C. Lin, Value sharing results for shifts of meromorphic functions, J. Math. Anal. Appl. 377 (2011), no. 2, 441-449. crossref(new window)

12.
X. G. Qi, K. Liu, and L. Z. Yang, Value sharing results of a meromorphic function f(z) and f(qz), Bull. Korean Math. Soc. 48 (2011), no. 6, 1235-1243. crossref(new window)

13.
J. F. Xu and H. X. Yi, Uniqueness of entire functions and differential polynomials, Bull. Korean Math. Soc. 44 (2007), no. 4, 623-629. crossref(new window)

14.
L. Yang, Value Distribution Theory and New Research (in Chinese), Science Press, Beijing, 1982.

15.
C. C. Yang and X. H. Hua, Uniqueness and value sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math. 22 (1997), no. 2, 395-406.

16.
J. L. Zhang and R. Korhonen, On the Nevanlinna characteristic of f(qz) and its application, J. Math. Anal. Appl. 369 (2010), no. 2, 537-544. crossref(new window)