Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable on the lattice x(s) = q2s

Journal of Computational and Applied Mathematics

Volumn 99, Issue 1-2, 1998, Pages 275-286

  Lewanowicz, Stanisław ^a  

^a UNIVERSITY OF WROC AW   (Poland)

Author keywords

Classical orthogonal polynomials of a discrete variable; Connection coefficients; q Krawtchouk polynomials; q Meixner polynomials; Recurrence relations

Indexed keywords

COMPUTATIONAL METHODS; FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING;

ORTHOGONAL POLYNOMIALS; PEARSON EQUATION; RECURRENCE RELATIONS;

POLYNOMIALS;

EID: 0032208499     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(98)00162-9     Document Type: Article

References (11)

1. R. Álvarez-Nodarse, Polinomios hipergeométricos y q-polinomios, Monografías de la Academia de Ciencias de Zaragoza (1998), in press.
2. s, Preprint MA/UC3M/6/97, Dpto. Mat. Univ. Carlos III de Madrid.
3. 2s, J. Phys. A 29 (1996) 7165-7175.
4. R. Askey, Orthogonal Polynomials and Special Functions, Regional Conf. Ser. Appl. Math. 21, SIAM, Philadelphia, PA, 1975.
5. S. Belmehdi, S. Lewanowicz, A. Ronveaux, Linearization of product of orthogonal polynomials of a discrete variable, Applicationes Mathematicae 24 (1997) 445-455.
6. C. Campigotto, Yu. F. Smirnov, S.G. Enikeev, q-analogue of the Krawtchouk and Meixner orthogonal polynomials, J. Comput. Appl. Math. 57 (1995) 87-97.
7. T.S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, New York, 1978.
8. S. Lewanowicz, Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable, J. Comput. Appl. Math. 76 (1996) 213-229.
9. A.F. Nikiforov, S.K. Suslov, V.B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable, Springer, Berlin, 1991.
10. A.F. Nikiforov, V.B. Uvarov, Polynomial solutions of hypergeometric type difference equations and their classification, Integral Transforms and Special Functions 1 (1993) 223-249.
11. J. Wimp, Computation with Recurrence Relations, Pitman, Boston, 1984.