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

Journal of Computational and Applied Mathematics

Volumn 191, Issue 1, 2006, Pages 98-105

  Koepf, Wolfram ^a   Masjed Jamei, Mohammad ^b  

^a UNIVERSITY OF KASSEL   (Germany)

^b K N TOOSI UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Differential equation of hypergeometric type; Hypergeometric functions; Hypergeometric identities; Jacobi, Laguerre, Bessel and Hermite polynomials; Pearson's distribution; Rodrigues type formula; Weight function

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; GEOMETRY; NUMERICAL METHODS;

DIFFERENTIAL EQUATION OF HYPERGEOMETRIC TYPE; HYPERGEOMETRIC FUNCTIONS; HYPERGEOMETRIC IDENTITIES; JACOBI, LAGUERRE, BESSEL AND HERMITE POLYNOMIALS; PEARSON'S DISTRIBUTION; RODRIGUES TYPE FORMULA; WEIGHT FUNCTION;

POLYNOMIALS;

EID: 33644867260     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.04.024     Document Type: Article

References (5)

1. M. Abramowitz, and I.A. Stegun Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables ninth ed. 1972 Dover New York
2. W. Koepf Hypergeometric Summation 1988 Vieweg Braunschweig/Wiesbaden
3. W. Koepf, M. Masjed-Jamei, A generic polynomial solution for the differential equation of hypergeometric type and six sequences of classical orthogonal polynomials related to it, J. Integral Transforms Special Functions, to appear.
4. A.F. Nikiforov, and V.B. Uvarov Special Functions of Mathematical Physics 1988 Birkhäuser Basel, Boston
5. G. Szegö Orthogonal Polynomials fourth ed. 1975 American Mathematical Society Providence, RI