A generic formula for the values at the boundary points of monic classical orthogonal polynomials

  • Authors:

  • Wolfram Koepf;Mohammad Masjed-Jamei

  • Affiliations:

  • Department of Mathematics, University of Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany;Department of Mathematics, K. N. Toosi University of Technology, Sayed Khandan, Jolfa Ave., Tehran, Iran

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2006

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Abstract

In a previous paper we have determined a generic formula for the polynomial solution families of the well-known differential equation of hypergeometric type@s(x)y"n^''(x)+@t(x)y"n^'(x)-@l"ny"n(x)=0.In this paper, we give another such formula which enables us to present a generic formula for the values of monic classical orthogonal polynomials at their boundary points of definition.