On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers

被引：68

作者：

Dziok, Jacek ^{[1
]}

Raina, Ravinder Krishna ^{[2
]}

Sokol, Janusz ^{[3
]}

机构：

[1] Univ Rzeszow, Inst Math, Dept Math, PL-35310 Rzeszow, Poland

[2] MP Univ Agri & Technol, Udaipur, Rajasthan, India

[3] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2013年 / 57卷 / 5-6期

关键词：

Univalent functions; Convex functions; Starlike functions; Subordination; Fibonacci numbers; Conchoid of de Sluze; Trisectrix of Maclaurin;

D O I：

10.1016/j.mcm.2012.10.023

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we investigate an interesting subclass SL of analytic univalent functions in the open unit disc on the complex plane. This class was introduced by Sokol [J. Sokol, On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis 175 (1999) 111-116]. The class SL is strongly related to the class KSL considered earlier by the authors of the present work in their paper [J. Dziok, R. K. Raina, J. Sokol, Certain results for a class of convex functions related to shell-like curve connected with Fibonacci Numbers, Comput. Math. Appl. 61 (2011) 2606-2613]. Apart from furnishing some genuine remarks, we present certain new results for the class SL of functions, and also mention some relevant cases for this function class. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1203 / 1211

页数：9

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