NEW MIXED RECURRENCE RELATIONS OF TWO-VARIABLE ORTHOGONAL POLYNOMIALS VIA DIFFERENTIAL OPERATORS

被引：0

作者：

Makky, Mosaed m. ^{[1
]}

Shadab, Mohammad ^{[2
]}

机构：

[1] South Valley Univ, Fac Sci, Dept Math, Qena, Egypt

[2] Glocal Univ, Sch Sci & Technol, Dept Nat & Appl Sci, Saharanpur 247121, India

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2024年 / 48卷 / 03期

关键词：

Jacobi polynomials; Legendre polynomials; Bateman's polynomials; differential operators;

D O I：

10.46793/KgJMat2403.383M

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we derive new recurrence relations for two -variable orthogonal polynomials for example Jacobi polynomial, Bateman's polynomial and Legendre polynomial via two different differential operators Xi = (partial derivative/partial derivative z + root w/partial derivative w) and triangle = (1/w partial derivative/partial derivative z + 1/z partial derivative/partial derivative w). We also derive some special cases of our main results.

引用

页码：383 / 392

页数：10