EXTREMAL MEASURES FOR A SYSTEM OF ORTHOGONAL POLYNOMIALS

被引：17

作者：

CHIHARA, TS

ISMAIL, MEH

机构：

[1] PURDUE UNIV CALUMET,DEPT MATH COMP SCI & STAT,HAMMOND,IN 46323

[2] UNIV S FLORIDA,DEPT MATH,TAMPA,FL 33620

来源：

CONSTRUCTIVE APPROXIMATION | 1993年 / 9卷 / 01期

关键词：

Al-Salam-Chihara polynomials; AMS classification: Primary 33D45; Secondary; 30E05; Extremal measures; Indeterminate moment problems; Orthogonal polynomials;

D O I：

10.1007/BF01229339

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the extremal measures of an indeterminate moment problem associated with a system of orthogonal polynomials defined by a three-term recurrence relation.

引用

页码：111 / 119

页数：9

共 50 条

[1] The extremal zeros of a perturbed orthogonal polynomials system
Leopold, E
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 98 (01) : 99 - 120
[2] ELLIPTIC ORTHOGONAL AND EXTREMAL POLYNOMIALS
PEHERSTORFER, F
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1995, 70 : 605 - 624
[3] Automorphic orthogonal and extremal polynomials
Lukashov, AL
Peherstorfer, E
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2003, 55 (03): : 576 - 608
[4] NEVANLINNA EXTREMAL MEASURES FOR SOME ORTHOGONAL POLYNOMIALS RELATED TO BIRTH AND DEATH PROCESSES
BERG, C
VALENT, G
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 57 (1-2) : 29 - 43
[5] An extremal property of classical orthogonal polynomials
Stepanov, VD
[J]. DOKLADY MATHEMATICS, 2005, 72 (01) : 555 - 557
[6] On an extremal property of classical orthogonal polynomials
Stepanov, V.D.
[J]. Doklady Akademii Nauk, 2005, 403 (04) : 452 - 454
[7] ORTHOGONAL AND EXTREMAL POLYNOMIALS ON SEVERAL INTERVALS
PEHERSTORFER, F
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1993, 48 (1-2) : 187 - 205
[8] Orthogonal polynomials and quadratic extremal problems
McDougall, JM
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2002, 354 (06) : 2341 - 2357
[9] ON AN EXTREMAL PROPERTY OF CLASSICAL ORTHOGONAL POLYNOMIALS
ABYLOV, VA
[J]. DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1989, 42 (12): : 45 - 46
[10] MEASURES ORTHOGONAL TO POLYNOMIALS
BISHOP, E
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1958, 44 (03) : 278 - 280

← 1 2 3 4 5 →