AN APPLICATION OF SEPARATE CONVERGENCE FOR CONTINUED FRACTIONS TO ORTHOGONAL POLYNOMIALS

被引：0

作者：

JONES, WB ^{[1
]}

THRON, WJ ^{[1
]}

WYSHINSKI, NJ ^{[1
]}

机构：

[1] UNIV COLORADO, DEPT MATH, BOULDER, CO 80309 USA

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1992年 / 35卷 / 03期

关键词：

D O I：

10.4153/CMB-1992-051-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that the n-th denominators Q(n)(alpha,beta,z) of a real J-fraction [GRAPHICS] where [GRAPHICS] form an orthogonal polynomial sequence (OPS) with respect to a distribution function psi(t) on R. We use separate convergence results for continued fractions to prove the asymptotic formula [GRAPHICS] the convergence being uniform on compact subsets of z is-an-element-of C.

引用

页码：381 / 389

页数：9

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