Fekete-Szego inequality for a subclass of analytic functions associated with Gegenbauer polynomials

被引：0

作者：

Kamali, M. ^{[1
]}

机构：

[1] Kyrgyz Turkish Manas Univ, Chyngyz Aitmatov Av, Bishkek, Kyrgyzstan

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2022年 / 14卷 / 02期

关键词：

analytic and univalent function; typically real function; subordination; Gegenbauer polynomial; coefficient estimate; Fekete-Szego?inequality;

D O I：

10.15330/cmp.14.2.582-591

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

( ) In this paper, we define a subclass of analytic functions by denote T beta H z, C(lambda) n (t) satisfying the following subordinate condition(1 - beta) C zf '(z)/ C / 1 + zf '' (z) 1 + beta-< f(z) f '(z) (1 - 2tz + z2)lambda, (1 ]where beta > 0, lambda > 0 and t E 2 , 1 . We give coefficient estimates and Fekete-Szego spacing diaeresis inequality for functions belonging to this subclass.

引用

页码：582 / 591

页数：10

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