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.
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页码：383 / 392
页数：10
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