FEKETE-SZEGO PROBLEM FOR SOME STARLIKE FUNCTIONS RELATED TO SHELL-LIKE CURVES

被引：45

作者：

Raina, Ravinder Krishna ^{[1
,2
]}

Sokol, Janusz ^{[3
]}

机构：

[1] MP Univ Agr & Technol, Udaipur, Rajasthan, India

[2] 10-11 Ganpati Vihar,Opposite Sect 5, Udaipur 313002, India

[3] Univ Rzeszow, Dept Math, Ul Rejtana 16A, PL-35310 Rzeszow, Poland

来源：

MATHEMATICA SLOVACA | 2016年 / 66卷 / 01期

关键词：

univalent functions; convex functions; starlike functions; subordination; Fibonacci numbers; conchoid of de Sluze; trisectrix of Maclaurin;

D O I：

10.1515/ms-2015-0123

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we investigate the Fekete-Szego problem for a class SL of functions f analytic in the open unit disc Delta = {z : vertical bar z vertical bar < 1} (and which is related to a shell-like curve associated with Fibonacci numbers) satisfying the conditions that f(0) = 0, f'(0) = 1 and zf'(z)/f(z) < 1 + tau(2)z(2)/1 - tau z - tau(2)z(2) (z is an element of Delta), where < denotes the subordination and the number tau = (1 - root 5)/2 is such that vertical bar tau vertical bar fulfils the golden section of the segment [0, 1]. (C) 2016 Mathematical Institute Slovak Academy of Sciences

引用

页码：135 / 140

页数：6

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