MEROMORPHIC SOLUTIONS OF SOME q-DIFFERENCE EQUATIONS

Title & Authors
MEROMORPHIC SOLUTIONS OF SOME q-DIFFERENCE EQUATIONS
Chen, Baoqin; Chen, Zongxuan;

Abstract
We consider meromorphic solutions of q-difference equations of the form \sum_{j
Keywords
q-difference equation;growth;type;
Language
English
Cited by
1.
FINITE LOGARITHMIC ORDER SOLUTIONS OF LINEAR q-DIFFERENCE EQUATIONS,;

대한수학회보, 2014. vol.51. 1, pp.83-98
1.
FINITE LOGARITHMIC ORDER SOLUTIONS OF LINEAR q-DIFFERENCE EQUATIONS, Bulletin of the Korean Mathematical Society, 2014, 51, 1, 83
References
1.
M. Ablowitz, R. G. Halburd, and B. Herbst, On the extension of the Painleve property to difference equations, Nonlinearity 13 (2000), no. 3, 889-905.

2.
W. Bergweiler, K. Ishizaki, and N. Yanagihara, Meromorphic solutions of some functional equations, Methods Appl. Anal. 5 (1998), no. 3, 248-258.

3.
W. Bergweiler, K. Ishizaki, and N. Yanagihara, Growth of meromorphic solutions of some functional equations I, Aequationes Math. 63 (2002), no. 1-2, 140-151.

4.
W. Bergweiler and J. K. Langley, Zeros of differences of meromorphic functions, Math. Proc. Cambridge Philos. Soc. 142 (2007), no. 1, 133-147.

5.
B. Q. Chen, Z. X. Chen, and S. Li, Properties on solutions of some q-difference equations, Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 10, 1877-1886.

6.
Z. X. Chen and K. H. Shon, On zeros and fixed points of differences of meromorphic functions, J. Math. Anal. Appl. 344 (2008), no. 1, 373-383.

7.
Y. M. Chiang and S. J. Feng, On the Nevanlinna characteristic of f($z+\eta$) and difference equations in thecomplex plane, Ramanujan J. 16 (2008), no. 1, 105-129.

8.
G. Gundersen, J. Heittokangas, I. Laine, J. Rieppo, and D. G. Yang, Meromorphic solutions of generalized Schroder equations, Aequationes Math. 63 (2002), no. 1-2, 110-135.

9.
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), no. 2, 477-487.

10.
R. G. Halburd and R. Korhonen, Nevanlinna theory for the difference operator, Ann. Acad. Sci. Fenn. Math. 31 (2006), no. 2, 463-478.

11.
W. K. Hayman, Meromorphic Functions, Clarendon Press, Oxford, 1964.

12.
W. K. Hayman, Angular value distribution of power series with gaps, Proc. Lond. Math. Soc. (3) 24 (1972), no. 4, 590-624.

13.
J. Heittokangas, I. Laine, J. Rieppo, and D. G. Yang, Meromorphic solutions of some linear functional equations, Aequationes Math. 60 (2000), no. 1-2, 148-166.

14.
I. Laine, Nevanlinna Theory and Complex Differential Equations, Walter de Gruyter, Berlin, 1993.

15.
S. Saks and A. Zygmund, Analytic Functions, Monografie Mat. (Engl. Transl.) Tom 28, Warsaw, 1952.

16.
J. Tu and C. F. Yi, On the growth of solutions of a class of higher order linear differential equations with coefficients having the same order, J. Math. Anal. Appl. 340 (2008), no.1, 487-497.

17.
C. C. Yang and H. X. Yi, Uniqueness Theory of Meromorphic Functions, Math. Appl., vol. 557, Kluwer Academic Publishers Group. Dordrecht, 2003.

18.
L. Yang, Value Distribution Theory and New Research, Science Press, Beijing, 1982.