Treffer: EXPONENTIAL SERIES FOR FUNCTIONS WITH SPECIFIED GROWTH NEAR THE BOUNDARY: Exponential series for functions with specified growth near the boundary
Title:
EXPONENTIAL SERIES FOR FUNCTIONS WITH SPECIFIED GROWTH NEAR THE BOUNDARY: Exponential series for functions with specified growth near the boundary
Authors:
Source:
Mathematics of the USSR-Izvestiya. 17:505-521
Publisher Information:
Steklov Mathematical Institute, 1981.
Publication Year:
1981
Subject Terms:
series of exponentials, Representations of entire functions of one complex variable by series and integrals, Dirichlet series, exponential series and other series in one complex variable, Special classes of entire functions of one complex variable and growth estimates, holomorphic function of exponential type, 0101 mathematics, exponential series, 01 natural sciences
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
ISSN:
0025-5726
DOI:
10.1070/im1981v017n03abeh001370
Access URL:
Accession Number:
edsair.doi.dedup.....01bfd7caa0c2f527c1d6f8ff852df497
Database:
OpenAIRE
Weitere Informationen
Let be a bounded convex region and a function analytic in and satisfying 0.$ SRC=http://ej.iop.org/images/0025-5726/17/3/A04/tex_im_1370_img3.gif/>;(1)This paper considers the question of expanding in in an exponential series for which the sum of the series of moduli of the terms satisfies an inequality of the form (1). It is shown that such an expansion is always possible if is a convex polygon. Bibliography: 2 titles.
