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Minimal growth of an entire function with given zeros
Andrusiak Ivanna 1 , Filevych Petro 1
1 Department of Higher Mathematics, Lviv polytechnic national university, Lviv, 79007, Ukraine
Keywords: entire function
Abstract

Let ___ be a sequence of complex numbers going to ___, ___ be its counting function, ___ be the class of entire functions with zeros at and only at ____, and ___ be a continuous function increasing to ___ by ____. If _____, then there exists an entire function ____ and a set __ of finite logarithmic measure such that ____ , for each ____, where ___ is the maximum modulus of ___. For ____, this statement is incorrect.

Cite
ACS Style
Andrusiak , I.; Filevych , P. Minimal growth of an entire function with given zeros. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Andrusiak I, Filevych P. Minimal growth of an entire function with given zeros. Bukovinian Mathematical Journal. 2018; 1(421).
Chicago/Turabian Style
Ivanna Andrusiak , Petro Filevych . 2018. "Minimal growth of an entire function with given zeros". Bukovinian Mathematical Journal. 1 no. 421.
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