ON OZAKI CLOSE-TO-CONVEX FUNCTION

被引：13

作者：

Allu, Vasudevarao ^{[1
]}

Thomas, Derek K. ^{[2
]}

Tuneski, Nikola ^{[3
]}

机构：

[1] Indian Inst Technol Kharagpur, NFA 18,IIT Campus, Kharagpur 721302, W Bengal, India

[2] Swansea Univ, Dept Math, Singleton Pk, Swansea SA2 8PP, W Glam, Wales

[3] Ss Cyril & Methodius Univ Skopje, Fac Mech Engn, Karpos 2 bb, Skopje 1000, Macedonia

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2019年 / 99卷 / 01期

关键词：

analytic; univalent; strongly close-to-convex functions; coefficient estimates; COEFFICIENTS; STARLIKE;

D O I：

10.1017/S0004972718000989

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let f be analytic in D = {z is an element of C : |z| < 1} and given by f(z) = z + Sigma(infinity )(n=2)a(n)z(n). We give sharp bounds for the initial coefficients of the Taylor expansion of such functions in the class of strongly Ozaki close-to-convex functions, and of the initial coefficients of the inverse function, together with some growth estimates.

引用

页码：89 / 100

页数：12

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