Preprint
A generic formula for the values at the boundary points of monic classical orthogonal polynomials
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.
Citation
@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},
year={2005}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2005$n2005 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2006053112644 3000 Koepf, Wolfram 3010 Masjed-Jamei, Mohammad 4000 A generic formula for the values at the boundary points of monic classical orthogonal polynomials / Koepf, Wolfram 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2006053112644=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 05, 16 5550 {{Hypergeometrische Differentialgleichung}} 5550 {{Hypergeometrische Reihe}} 7136 ##0##urn:nbn:de:hebis:34-2006053112644
2006-05-31T12:28:23Z 2006-05-31T12:28:23Z 2005 urn:nbn:de:hebis:34-2006053112644 http://hdl.handle.net/123456789/2006053112644 499126 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Differential equation of hypergeometric type Hypergeometric functions Hypergeometric identities Rodriques type formula Weight function Pearson's distribution Jacobi, Laquerre, Bessel and Hermite polynomials 510 A generic formula for the values at the boundary points of monic classical orthogonal polynomials Preprint 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. open access Koepf, Wolfram Masjed-Jamei, Mohammad Mathematische Schriften Kassel ;; 05, 16 33C45 33C20 33F10 Hypergeometrische Differentialgleichung Hypergeometrische Reihe Mathematische Schriften Kassel 05, 16
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