Published April 30, 1999 | Version v1
Journal article

Widths of certain classes of entire functions

Creators

  • 1. Pskov State Teachers' College (Russian Federation)

Description

The asymptotic behaviour of widths of classes of entire functions in the uniform metric on a compact set is studied. A logarithmic asymptotic formula is obtained which contains not only the natural parameters defining the growth at infinity of functions in the class under consideration, but also the capacity of the compact set. Under certain additional conditions a weak asymptotic formula is obtained. An example of the calculation of the strong asymptotics is presented

Availability note (English)

Available from http://dx.doi.org/10.1070/SM1999v190n04ABEH000396

Additional details

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
190
Journal Issue
4
Journal Page Range
p. 561-568
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40073265
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; FUNCTIONS; METRICS
Descriptors DEC
MATHEMATICAL SOLUTIONS