DESCRIPTION OF ROOT SETS AND FACTORIZATION REPRESENTATION OF L-P-WEIGHT CLASSES OF ENTIRE FUNCTIONS OF VALIRON TYPE

被引：0

作者：

Shamoyan, Fajzo Agitovich ^{[1
]}

Okhlupina, Ol'ga Valentinovna ^{[2
]}

Tasoeva, Ekaterina Vladimirovna ^{[3
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Astrahanskaya Ul 83, Saratov 410012, Russia

[2] Bryansk State Univ Engn & Technol, Prospekt Stanke Dimitrova 3, Bryansk 241037, Russia

[3] Bryansk State Univ, Bezhickaya Ul 14, Bryansk 241036, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2018年 / 15卷

关键词：

an entire function; a factorization representation; root sets; a polynomial; the order of an entire function;

D O I：

10.17377/semi.2018.15.118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper presents the characterization of root sets of classes of entire functions of the Valiron type with weight, as well as built their factorization representation.

引用

页码：1443 / 1454

页数：12

共 7 条

[1] [Anonymous], 1954, ENTIRE FUNCTIONS
[2] Levin B.Ya., 1996, TRANSL MATH MONOGRAP, V150
[3] Okhlupina O. V., 2015, GEN VALIRONS THEOREM, V4, P400
[4] Prokhorov D. V., 2006, P STEKLOV I MATH, V255, P233
[5] Shamoyan F. A., 2009, INTRO THEORY WEIGHTS
[6] Parametric representation and description for the root sets of weighted classes of holomorphic functions in the disk
Shamoyan, FA
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1999, 40 (06) : 1211 - 1229
[7] Stein I., 1973, SINGULAR INTEGRALS D

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