A DIFFERENTIAL EQUATION FOR MULTIPLE BESSEL POLYNOMIALS WITH RAISING AND LOWERING OPERATORS

- Journal title : Bulletin of the Korean Mathematical Society
- Volume 48, Issue 3, 2011, pp.445-454
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/BKMS.2011.48.3.445

Title & Authors

A DIFFERENTIAL EQUATION FOR MULTIPLE BESSEL POLYNOMIALS WITH RAISING AND LOWERING OPERATORS

Baek, Jin-Ok; Lee, Dong-Won;

Baek, Jin-Ok; Lee, Dong-Won;

Abstract

In this paper, we first find a raising operator and a lowering operator for multiple Bessel polynomials and then give a differential equation having multiple Bessel polynomials as solutions. Thus the differential equations were found for all multiple orthogonal polynomials that are orthogonal with respect to the same type of classical weights introduced by Aptekarev et al.

Keywords

multiple orthogonal polynomials;Bessel polynomials;multiple Bessel polynomial;differential equation;

Language

English

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