The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices

Ramanujan Journal

Volumn 5, Issue 2, 2001, Pages 167-181

  Bangerezako, Gaspard ^a,b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b Fac Sciences   (Burundi)

Author keywords

Laguerre Hahn orthogonal on special non uniform lattices polynomials; r associated polynomials

Indexed keywords

EID: 0035539588     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011487824004     Document Type: Article

References (12)

1. O. Ermolaeva, V. Spiridonov, L. Vinet, and A. Zhedanov, "Self-similarity and orthogonal polynomials," Phys. Atomic Nuclei 61 (1998), 1863-1867.
2. O. Ermolaeva and A. Zhedanov, "Spectral transformations and generalized Pollaczek polynomials," Preprint 1998.
3. w, semi-classical orthogonal polynomials of class one," J. Comp. Appl. Math. 99 (1998), 143-154.
4. M. Foupouagnigni, A. Ronveaux, and M.N. Hounkonnou. "The fourth-order difference equation satisfied by the associated orthogonal polynomials of the A-Laguerre-Hahn class," J. Symbolic Compulation. 28 (1999). 801-818.
5. q-Laguerre-Hahn class." Preprint, Konrad-Zuse-Zentrum, Berlin, 1998.
6. R. Koekoek and R. Swarttouw, "The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue," Report of the Technical University Delft. Faculty of Technical Mathematics and Informatics, 1998, pp. 98-117.
7. A.P. Magnus, Riccati Acceleration of Jacobi Continued Fractions and Laguerre-Hahn Orthogonal Polynomials, Lect. Notes. Math. 1071, Springer, Berlin, 1984, pp. 213-230.
8. A.P. Magnus, Associated Askey-Wilson Polynomials as Laguerre-Hahn Orthogonal Polynomials, Springer Lect. Notes in Math. 1329, Springer, Berlin, 1988. pp. 261-278.
9. A.P. Magnus, "Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials," J. Comp. Appl. Math. 57 (1995), 215-237.
10. A.P. Magnus, "Special non uniform lattice (snul) orthogonal polynomials on discrete dense sets of points," J. Comp. Appl. Math. 65 (1995), 253-265.
11. A. Ronveaux, "Four order differential equation and orthogonal polynomials of the Laguerre-Hahn class." IMACS Ann. Comput. Appl. Math. 9 (1991), 379-389.
12. A.S. Zhedanov, "Rational spectral transformations and orthogonal polynomials," J. Comp. Appl. Math. 85 (1997), 67-86.