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Uniqueness and value-sharing of entire functions

โœ Scribed by Ming-Liang Fang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
373 KB
Volume
44
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

In this paper, we study the uniqueness of entire functions and prove the following theorem. Let f(z) and g(z) be two nonconstant entire functions, n, k two positive integers with n > 2k d-4. If fn(z) and gn(z) share 1 with counting the multiplicity, then either f(z) = Cl ecz, g(z) = c2e -cz, where el, c2, and c are three constants satisfying (--1)k( ClC2)n(nc) 2k = 1, or f(z) --tg(z) for a constant t such that t'* = 1. (~) 2002 Elsevier Science Ltd. All rights reserved.

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