Combinatorial orthogonal expansions

被引:3
作者
DeMedicis, A [1 ]
Stanton, D [1 ]
机构
[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455
关键词
D O I
10.1090/S0002-9939-96-03262-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The linearization coefficients for a set of orthogonal polynomials are given explicitly as a weighted sum of combinatorial objects. Positivity theorems of Askey and Szmarc are corollaries of these expansions.
引用
收藏
页码:469 / 473
页数:5
相关论文
共 6 条
[1]  
ASKEY R, 1970, PROBLEMS ANAL, P223
[2]  
ASKEY R, 1971, SIAM J MATH ANAL, V2, P340, DOI DOI 10.1137/0502031
[3]  
Chihara TS., 1978, INTRO ORTHOGONAL POL
[4]  
SZWARC R, 1992, SIAM J MATH ANAL, V23, P959, DOI 10.1137/0523052
[5]   ORTHOGONAL POLYNOMIALS AND A DISCRETE BOUNDARY-VALUE PROBLEM-II [J].
SZWARC, R .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (04) :965-969
[6]  
Viennot G., 1983, Lecture Notes