Uniform asymptotics for second-kind ultraspherical polynomials on the unit circle

被引：1

作者：

Golinskii, L ^{[1
]}

机构：

[1] Kharkov Low Temp Phys & Engn Inst, Div Math, UA-310164 Kharkov, Ukraine

来源：

CONSTRUCTIVE APPROXIMATION | 1998年 / 14卷 / 04期

关键词：

orthogonal polynomials on the unit circle; Jacobi polynomials; hypergeometric functions;

D O I：

10.1007/s003659900092

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object under consideration is the system of orthonormal polynomials of the second kind which corresponds to ultraspherical weight function on the unit circle. We obtain a uniform asymptotic representation for such polynomials in the closed unit disk as well as two-sided bounds on the unit circle.

引用

页码：599 / 608

页数：10

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