Published April 30, 1999
| Version v1
Journal article
Widths of certain classes of entire functions
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/SM1999v190n04ABEH000396Additional details
Identifiers
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