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, Kassel, Germany;Department of Mathematics, K.N. Toosi University of Technology, Sayed Khandan, Tehran, Iran
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 1
Cited 1

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Generic formulas for the values at the singular points of some special monic classical Hq,ω-orthogonal polynomials

Journal of Computational and Applied Mathematics

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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 σ(x)y"n(x) + τ(x)y'n(x) - λnyn(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.