CLASSICAL AND GENERALIZED JACOBI POLYNOMIALS ORTHOGONAL WITH DIFFERENT WEIGHT FUNCTIONS AND DIFFERENTIAL EQUATIONS SATISFIED BY THESE POLYNOMIALS

被引：0

作者：

Marcokova, Mariana ^{[1
,2
]}

Guldan, Vladimir ^{[3
]}

机构：

[1] Univ Zilina, Fac Civil Engn, Univ 1, Zilina, Slovakia

[2] Moscow Power Engn Inst, Moscow, Russia

[3] Univ Zilina, Fac Mech Engn, Univ 1, Zilina, Slovakia

来源：

PROCEEDINGS OF EQUADIFF 2017 CONFERENCE | 2017年

基金：

俄罗斯科学基金会;

关键词：

orthogonal polynomial; weight function; classical Jacobi polynomial; classical Legendre polynomial; generalized orthogonal polynomial; differential equation;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them. We derive expressions of generalized Legendre polynomials and generalized ultraspherical polynomials by means of classical Jacobi polynomials.

引用

页码：287 / 294

页数：8