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On a question of Gross concerning uniqueness of 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 e-mail: hxyi@sdu.edu.cn
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Abstract

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In this paper, we prove that there exist two finite sets S1 (with 1 element) and S2 (with 3 elements) such that any two entire functions f and g satisfying Ef(Sj) = Eg(Sj) for j = 1, 2 must be identical. This answers a question posed by Gross. Examples are provided to show that this result is sharp.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 57 , Issue 2 , April 1998 , pp. 343 - 349
Copyright
Copyright © Australian Mathematical Society 1998

References

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