Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles
Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 850-860
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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 $0\lambda\rho1$ 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.
@article{IM2_1975_9_4_a7,
author = {A. I. Kheifits},
title = {Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles},
journal = {Izvestiya. Mathematics },
pages = {850--860},
publisher = {mathdoc},
volume = {9},
number = {4},
year = {1975},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a7/}
}
TY - JOUR AU - A. I. Kheifits TI - Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles JO - Izvestiya. Mathematics PY - 1975 SP - 850 EP - 860 VL - 9 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a7/ LA - en ID - IM2_1975_9_4_a7 ER -
%0 Journal Article %A A. I. Kheifits %T Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles %J Izvestiya. Mathematics %D 1975 %P 850-860 %V 9 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a7/ %G en %F IM2_1975_9_4_a7
A. I. Kheifits. Indicators of functions of order less than one that are analytic in an open half-plane and have completely regular growth in interior angles. Izvestiya. Mathematics , Tome 9 (1975) no. 4, pp. 850-860. http://geodesic.mathdoc.fr/item/IM2_1975_9_4_a7/