On Analytic Continuation of the Power Series Outside of the Convergence Disc

Levon Nurbekyan

Download

Title: On Analytic Continuation of the Power Series Outside of the Convergence Disc

Volume:

Number:

ISSN:

1829-1163

Official URL:

Contributor(s):

Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան

Coverage:

25-43

Abstract:

In current work we discuss the issue of the analytic continuation of a power series along a logarithmic spiral outside of the convergence disc. A necessary and su�cient condition in terms of the interpolating entire function is obtained. Moreover, the relation in between the possibility of analytic continuation and the density of the lacunas of a power series is studied.

Publisher:

National Academy of Sciences of Armenia

Date created:

2012-05-25

Format:

pdf

Identifier:

oai:arar.sci.am:13251

General note:

Electronic Open Access Publication of the National Academy of Sciences of Armenia

Digitization:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Location of original object:

ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան

Subject and keywords:

Functions of a complex variable

Object collections:

Digital Library > Articles

Last modified:

Apr 19, 2024

In our library since:

Feb 12, 2020

Number of object content hits:

All available object's versions:

https://arar.sci.am/publication/14962

Show description in RDF format:

RDF

Show description in OAI-PMH format:

OAI-PMH

Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես

Edition name	Date
On Analytic Continuation of the Power Series Outside of the Convergence Disc	Apr 19, 2024

Object

Title: On Analytic Continuation of the Power Series Outside of the Convergence Disc

Creator:

Type:

Publication Details:

Journal or Publication Title:

Date of publication: