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Entire functions sharing one finite value with their derivatives in some angular domains.

Authors :
Xiao-Min LI
Xue-Feng LIU
Hong-Xun YI
Source :
Proceedings of the Japan Academy, Series A: Mathematical Sciences. Apr2016, Vol. 92 Issue 4, p41-46. 6p.
Publication Year :
2016

Abstract

We study the uniqueness question of transcendental entire functions sharing one finite nonzero value with their derivatives in some angular domains instead of the whole complex plane. The results in the present paper improve and extend the corresponding results from Chang-Fang [2] and extend Theorem 3 from Zheng [15]. An example is provided to show that the results in this paper, in a sense, are best possible [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03862194
Volume :
92
Issue :
4
Database :
Academic Search Index
Journal :
Proceedings of the Japan Academy, Series A: Mathematical Sciences
Publication Type :
Academic Journal
Accession number :
114714471
Full Text :
https://doi.org/10.3792/pjaa.92.41