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Abstract and Applied Analysis - Volume 2014 2014, Article ID 283895, 10 pages -

Research Article

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, 80101 Joensuu, Finland

Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China

Received 15 January 2014; Accepted 13 March 2014; Published 24 April 2014

Academic Editor: Zong-Xuan Chen

Copyright © 2014 Zhi-Bo Huang and Ran-Ran Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We obtain some results on the transcendental meromorphic solutions of complex functional difference equations of the form  , where is a finite set of multi-indexes , are distinct complex constants, is a polynomial, and , , and are small meromorphic functions relative to . We further investigate the above functional difference equation which has special type if its solution has Borel exceptional zero and pole.





Autor: Zhi-Bo Huang and Ran-Ran Zhang

Fuente: https://www.hindawi.com/



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