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.
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页码：287 / 294
页数：8
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