Back to Search
Start Over
Difference equations for discrete classical multiple orthogonal polynomials
- Source :
-
Journal of Approximation Theory . Feb2008, Vol. 150 Issue 2, p132-152. 21p. - Publication Year :
- 2008
-
Abstract
- Abstract: For discrete multiple orthogonal polynomials such as the multiple Charlier polynomials, the multiple Meixner polynomials, and the multiple Hahn polynomials, we first find a lowering operator and then give a th order difference equation by combining the lowering operator with the raising operator. As a corollary, explicit third order difference equations for discrete multiple orthogonal polynomials are given, which was already proved by Van Assche for the multiple Charlier polynomials and the multiple Meixner polynomials. [Copyright &y& Elsevier]
- Subjects :
- *POLYNOMIALS
*ALGEBRA
*BERNOULLI polynomials
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00219045
- Volume :
- 150
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Approximation Theory
- Publication Type :
- Academic Journal
- Accession number :
- 29370580
- Full Text :
- https://doi.org/10.1016/j.jat.2007.06.002