Electron. J. Diff. Equ., Vol. 2016 (2016), No. 32, pp. 1-13.

Entire functions that share a small function with their difference operators

Abdallah El Farissi, Zinelaabidine Latreuch, Benharrat Belaidi, Asim Asiri

Abstract:
In this article, we study the uniqueness of entire functions that share small functions of finite order with their difference operators. In particular, we give a generalization of results in [3,4,13].

Submitted July 27, 2015. Published January 21, 2016.
Math Subject Classifications: 30D35, 39A32.
Key Words: Uniqueness; entire functions; difference operators.

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Abdallah El Farissi
Department of Mathematics and Informatics
Faculty of Exact Sciences
University of Bechar, Algeria
email: elfarissi.abdallah@yahoo.fr
Zinelâabidine Latreuch
Department of Mathematics
Laboratory of Pure and Applied Mathematics
University of Mostaganem (UMAB)
B. P. 227 Mostaganem, Algeria
email: z.latreuch@gmail.com
Benharrat Belaïdi
Department of Mathematics
Laboratory of Pure and Applied Mathematics
University of Mostaganem (UMAB)
B. P. 227 Mostaganem, Algeria
email: benharrat.belaidi@univ-mosta.dz
Asim Asiri
Department of Mathematics
Faculty of Science, King Abdulaziz University
P.O. Box 80203, Jeddah 21589, Saudi Arabia
email: amkasiri@kau.edu.sa

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