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Unicity theorems for meromorphic or entire functions

Published online by Cambridge University Press:  17 April 2009

Hong-Xun Yi
Hong-Xun Yi
Affiliation:
Department of MathematicsShandong UniversityJinan Shandong 250100People's Republic of China
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In this paper, we prove that there exist three finite sets Sj (j = 1, 2, 3) such that any two non-constant meromorphic functions f and g satisfying Ef(Sj) = Eg(Sj) for j = 1,2,3 must be identical. As a particular case of the above result, we obtain that there exist two finite sets Sj (j = 1, 2) such that any two non-constant entire functions f and g satisfying Ej(Sj) = Eg(Sj) for j = 1, 2 must be identical, which answers a question posed by Gross.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 49 , Issue 2 , April 1994 , pp. 257 - 265
Copyright
Copyright © Australian Mathematical Society 1994

References

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