DIFFERENTIAL SUB ORDINATIONS AND α-CONVEX FUNCTIONS

被引：12

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 Agr & Technol, Udaipur, India

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

来源：

ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 03期

关键词：

Univalent functions; starlike functions; subordination; Fibonacci numbers; tri-sectrix; of Maclaurin; conchoid of de Sluze; STARLIKE FUNCTIONS; FIBONACCI NUMBERS;

D O I：

10.1016/S0252-9602(13)60024-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article presents some new results on the class SLM alpha of functions that are analytic in the open unit disc U = {z :vertical bar z vertical bar< 1} satisfying the conditions that [GRAPHICS] for all z epsilon U, where alpha is a real number and [GRAPHICS] The number r = (1 - root 5)/2 is such that r(2) = 1 + r. The class SLM alpha introduced by J. Dziok, R.K. Raina, and J. Sokol [3, Appl. Math. Comput. 218 (2011), 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory.

引用

页码：609 / 620

页数：12

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