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A question of Gross and the uniqueness of entire functions

Published online by Cambridge University Press:  22 January 2016

Hong-Xun yi
Hong-Xun yi*
Affiliation:
Department of Mathematics, Shandong University, Jinan, Shandong, 250100 People’s Republic of China
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For any set S and any entire function f let

where each zero of f — a with multiplicity m is repeated m times in Ef(S) (cf. [1]). It is assumed that the reader is familiar with the notations of the Nevanlinna Theory (see, for example, [2]). It will be convenient to let E denote any set of finite linear measure on 0 < r < ∞, not necessarily the same at each occurrence. We denote by S(r, f) any quantity satisfying .

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 138 , June 1995 , pp. 169 - 177
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

References

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