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

Koepf, Wolfram
Masjed-Jamei, Mohammad

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.

Citation
In: Mathematische Schriften Kassel 05, 16 / (2005) , S. ; 
@article{urn:nbn:de:hebis:34-2006053112644,
  author    ={Koepf, Wolfram and Masjed-Jamei, Mohammad},
  title    ={A generic formula for the values at the boundary points of monic classical orthogonal polynomials},
  keywords ={510 and Hypergeometrische Differentialgleichung and Hypergeometrische Reihe},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2005}
}