Bulletin of the
Korean Mathematical Society BKMS

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

MSC numbers: 33C45, 33C47, 34L05, 42C05