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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1985 Volume 49, Issue 6, Pages 1155–1176 (Mi im1392)

This article is cited in 1 paper

Complete regularity of growth for some classes of entire functions of exponential type represented by Âorel integrals and power series

N. V. Govorov, N. M. Chernykh


Abstract: New tests are obtained for the regularity of growth of entire functions of exponential type that are represented as power series $F(z)=\sum_{n=0}^\infty\frac{a_n}{n!}z^n$ and Borel (Laplace) integrals $F(z)=\int_Lf(\tau)e^{z\tau}\,d\tau$.
Bibliography: 16 titles.

UDC: 517.547.22

MSC: 30D15

Received: 10.08.1983


 English version:
Mathematics of the USSR-Izvestiya, 1986, 27:3, 431–450

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