Growth of meromorphic solutions of linear difference equations

In this paper, the authors continue to study the growth of meromorphic solutions of homogeneous or non-homogeneous linear difference equations with entire coefficients, and obtain some results which are improvement and extension of previous results in Chiang and Feng (2008) [7] and Laine and Yang (2...

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Bibliographic Details
Published in:	Journal of mathematical analysis and applications Vol. 384; no. 2; pp. 349 - 356
Main Authors:	Zheng, Xiu-Min, Tu, Jin
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 15-12-2011 Elsevier
Subjects:	Difference and functional equations, recurrence relations Difference equation Exact sciences and technology Finite differences and functional equations Lower order Mathematical analysis Mathematics Meromorphic solution Numerical analysis Numerical analysis. Scientific computation Order Sciences and techniques of general use Order Lower order Difference equation Meromorphic solution Non linear equation Linear equation Mathematical analysis
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Summary:	In this paper, the authors continue to study the growth of meromorphic solutions of homogeneous or non-homogeneous linear difference equations with entire coefficients, and obtain some results which are improvement and extension of previous results in Chiang and Feng (2008) [7] and Laine and Yang (2007) [19]. Examples are also given to illustrate the sharpness of our results.
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2011.05.069