Representations for the first associated q-classical orthogonal polynomials

Journal of Computational and Applied Mathematics

Volumn 150, Issue 2, 2003, Pages 311-327

  Lewanowicz, Stanisław ^a  

^a UNIVERSITY OF WROC AW   (Poland)

Author keywords

Connection problem; First associated polynomials; Q classical orthogonal polynomials; Q difference equations; Recurrence relations

Indexed keywords

DIFFERENCE EQUATIONS; GEOMETRY;

CLASSICAL ORTHOGONAL POLYNOMIALS; WEIGHT FUNCTION;

POLYNOMIALS;

MATHEMATICAL ANALYSIS;

EID: 0037438195     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(02)00668-4     Document Type: Article

References (9)

1. q-Classical polynomials and the q-Askey and Nikiforov-Uvarov tableaux
2. The fourth-order q-difference equation satisfied by the first associated q-classical orthogonal polynomials
3. Basic hypergeometric series
4. Über orthogonalpolynome, die q-differenzengleichungen genügen
5. The Askey scheme of hypergeometric orthogonal polynomials and its q-analogue
6. Compact quantum groups and q-special functions
7. Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials
8. On the q-classical polynomials: A distributional study
9. A q-integral representation of Roger's q-ultraspherical polynomials and some applications