Recurrence relation and multi-indexed polynomials of the second kind

被引：1
|
作者：
Horvath, A. P. [1 ]
机构：
[1] Budapest Univ Technol & Econ, Dept Anal, Budapest, Hungary
来源：
ACTA MATHEMATICA HUNGARICA | 2019年 / 157卷 / 02期
关键词：
exceptional orthogonal polynomial; recurrence relation; Darboux transform;
D O I：
10.1007/s10474-019-00922-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Exceptional orthogonal polynomials fulfil recurrence relations with constant, and with variable dependent coefficients. Considering the second type relations we can define multi-indexed polynomials of the second kind. In some cases they are also exceptional orthogonal polynomials. The other types of multi-indexed polynomials of the second kind are investigated in case of 2-step Darboux transform.
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页码：537 / 550
页数：14
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