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

Authors:
J. Petronilho
Affiliations:
Departamento de Matemática, FCTUC, Universidade de Coimbra, 3001-454 Coimbra, Portugal
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

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Abstract

It is well-known that the classical orthogonal polynomials of Jacobi, Bessel, Laguerre and Hermite are solutions of a Sturm-Liouville problem of the type @s(x)y"n^''+@t(x)y"n^'-@l"ny"n=0,where @s and @t are polynomials such that deg@s=