Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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A DIFFERENTIAL EQUATION FOR MULTIPLE BESSEL POLYNOMIALS WITH RAISING AND LOWERING OPERATORS

  • Baek, Jin-Ok (Department of Mathematics Kyungpook National University) ;
  • Lee, Dong-Won (Department of Mathematics Teachers College Kyungpook National University)
  • Received : 2008.12.12
  • Published : 2011.05.31
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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.

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References

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