Application of Chebyshev polynomials to classes of analytic functions

被引：31
|
作者：
Dziok, Jacek [1 ]
Raina, Ravinder Krishna [2 ]
Sokol, Janusz [3 ]
机构：
[1] Univ Rzeszow, Fac Math & Nat Sci, Rzeszow, Poland
[2] MP Univ Agr & Technol, Udaipur, India
[3] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
来源：
COMPTES RENDUS MATHEMATIQUE | 2015年 / 353卷 / 05期
关键词：
D O I：
10.1016/j.crma.2015.02.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Our objective in this paper is to consider some basic properties of the familiar Chebyshev polynomials in the theory of analytic functions. We investigate some basic useful characteristics for a class H(t), t is an element of (1/2, t] de functions f, with f(0) = 0, f'(0) = 1, analytic in the open unit disc U = {z :\z\ < 1) satisfying the condition that [GRAPHICS] where H(z,t) is the generating function of the second kind of Chebyshev polynomials. The Fekete-Szego problem in the class is also solved. (C) 2015 Published by Elsevier Masson SAS on behalf of Academie des sciences.
引用
收藏
页码：433 / 438
页数：6
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