F. S. Myshakov, A. Yu. Popov, “A refinement of Gol'dberg's theorem on estimating the type with respect to a proximate order of an entire function of integer order”, Mat. Sb., 2015, Volume 206, Number 12,Pages <nobr>119

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A refinement of Gol'dberg's theorem on estimating the type with respect to a proximate order of an entire function of integer order

F. S. Myshakov, A. Yu. Popov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A best possible second term is found in Gol'dberg's theorem on an asymptotic upper estimate for the logarithm of the maximum modulus of an entire function of integer order.
Bibliography: 9 titles.

Keywords: entire function of integer order, type of an entire function with respect to a proximate order, slowly varying function, asymptotic estimate.

UDC: 517.547.22

MSC: 30D20

Received: 27.03.2014 and 04.06.2015

DOI: 10.4213/sm8367