ON A NEW CHARACTERIZATION OF THE CLASSICAL ORTHOGONAL POLYNOMIALS

被引：10

作者：

DETTE, H ^{[1
]}

STUDDEN, WJ ^{[1
]}

机构：

[1] PURDUE UNIV,DEPT STAT,W LAFAYETTE,IN 47907

来源：

JOURNAL OF APPROXIMATION THEORY | 1992年 / 71卷 / 01期

关键词：

D O I：

10.1016/0021-9045(92)90128-B

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we give a new characterization of the classical orthogonal polynomials (Jacobi, Laguerre, and Hermite polynomials) by a special property of the sequences in their recurrence formula. The results also allow an easy derivation of the asymptotic distribution of the zeros of the classical orthogonal polynomials. © 1992.

引用

页码：3 / 17

页数：15

共 14 条

[1]

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[2]

ALSALAM WA, 1990, NATO ADV SCI I C-MAT, V294, P1

[3]

Chihara TS., 1978, INTRO ORTHOGONAL POL

[4]

Feller W., 1966, INTRO PROBABILITY TH, V2