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

页码：433 / 438

页数：6

共 17 条

[1] ON THE INTEGRAL CONVOLUTION OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS [J].