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On some questions in the theory of entire functions

V. A. Oskolkov

Institute of Municipal Economy and Construction

Abstract: The following questions are considered. A connection is found in general form between the rate of growth of the maximum modulus of an entire function and the rate of decrease of the moduli of its Maclaurin coefficients. Moreover, a study is made of the distribution of zeros of the successive derivatives of zero-order entire functions and entire functions of exponential type.

UDC: 517.5

MSC: Primary 30D15; Secondary 30C15, 30B10

Received: 18.12.1991

 English version: Russian Academy of Sciences. Sbornik. Mathematics, 1994, 78:1, 113–129

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