Coefficient functionals and radius problems of certain starlike functions

被引：4

作者：

Naz, Adiba ^{[1
]}

Kumar, Sushil ^{[2
]}

Ravichandran, V ^{[3
]}

机构：

[1] Univ Delhi, Dept Math, Delhi 110007, India

[2] Bharati Vidyapeeths Coll Engn, Delhi 110063, India

[3] Natl Inst Technol, Dept Math, Tiruchirappalli 620015, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 05期

关键词：

Inverse coefficients; starlike functions; rational function; exponential function; Fekete-Szego inequality; Hankel determinants; radius problem; 3RD HANKEL DETERMINANT; INVERSE; LEMNISCATE; BERNOULLI; SUBCLASS; BOUNDS;

D O I：

10.1142/S1793557122500899

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Ma-Minda class (of starlike functions) consists of normalized analytic functions f defined on the unit disk for which the image of the function zf'(z)/f(z) is contained in some starlike region lying in the right-half plane. In this paper, we obtain the best possible bounds on some initial coefficients for the inverse functions of Ma-Minda starlike functions. Further, the bounds on the Fekete-Szego functional and the second Hankel determinant are computed for such functions. In addition, some sharp radius estimates are also determined.

引用

页数：19

共 36 条

[1]

Ali RM., 2003, Bull. Malaysian Math. Sc. Soc, V26, P63

[2] Radii of starlikeness associated with the lemniscate of Bernoulli and the left-half plane [J].