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

Izv. Akad. Nauk SSSR Ser. Mat., 1975 Volume 39, Issue 4, Pages 899–910 (Mi im2059)

This article is cited in 2 papers

Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles

A. I. Kheifits


Abstract: Necessary and sufficient conditions are obtained for a function of order $\rho$ analytic in the open half-plane to have completely regular growth with respect to the order $0<\lambda<\rho<1$ in each angle in the interior of this half-plane. Formulas are also obtained for the indicators (with respect to the order $\lambda$) of functions of this class.
Bibliography: 14 items.

UDC: 517.54

MSC: Primary 30A64, 30A66; Secondary 30A88

Received: 30.10.1973


 English version:
Mathematics of the USSR-Izvestiya, 1975, 9:4, 850–860

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