On a Class of A-Analytic Functions

被引：4

作者：

Sadullaev, Azimbai ^{[1
]}

Jabborov, Nasridin M. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan Vuzgorodok, Tashkent 100174, Uzbekistan

来源：

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS | 2016年 / 9卷 / 03期

关键词：

A-analytic function; integral theorem of Cauchy; integral formula of Cauchy; Taylor series; Loran series; Picard's big theorem; Montel's theorem;

D O I：

10.17516/1997-1397-2016-9-3-374-383

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider A-analytic functions in case when A is anti-holomorphic function. In paper for A-analytic functions the integral theorem of Cauchy, integral formula of Cauchy, expansion to Taylor series, expansion to Loran series, Picard's big theorem and Montel's theorem are proved.

引用

页码：374 / 383

页数：10

共 50 条

[41] ON THE DIVISION OF FUNCTIONS OF CLASS CR BY REAL ANALYTIC-FUNCTIONS
SZAFRANIEC, Z
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1985, 113 (02): : 143 - 155
[42] A class of analytic functions related to convexity and functions with bounded turning
Wang, Zhi-Gang
Naeem, M.
Hussain, S.
Mahmood, T.
Rasheed, A.
AIMS MATHEMATICS, 2020, 5 (03): : 1926 - 1935
[43] DIVISION OF FUNCTIONS OF CLASS CR BY READ-ANALYTIC FUNCTIONS
RISLER, JJ
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 285 (04): : 237 - 239
[44] On Coefficient Estimates for a Certain Class of Analytic Functions
Raducanu, Dorina
MATHEMATICS, 2023, 11 (01)
[45] SOME ANALYTIC PROPERTIES IN THE CLASS OF RELATED FUNCTIONS
周性伟
张箴
Science China Mathematics, 1981, (12) : 1626 - 1635
[46] On a Class of Analytic Functions Defined by a Fractional Operator
Szatmari, Eszter
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (04)
[47] Neighborhoods of a class of analytic functions with negative coefficients
Altintas, O
Özkan, Ö
Srivastava, HM
APPLIED MATHEMATICS LETTERS, 2000, 13 (03) : 63 - 67
[48] Starlikeness criteria for a certain class of analytic functions
Ponnusamy, S.
APPLIED MATHEMATICS LETTERS, 2011, 24 (03) : 381 - 386
[49] On a Class of Analytic Functions Defined by a Fractional Operator
Eszter Szatmari
Mediterranean Journal of Mathematics, 2018, 15
[50] A geometric property for a class of meromorphic analytic functions
Ibrahim, Rabha W.
Sokol, Janusz
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

← 1 2 3 4 5 →