Solving connection and linearization problems within the askey scheme and its q-analogue via inversion formulas

Journal of Computational and Applied Mathematics

Volumn 133, Issue 1-2, 2001, Pages 151-162

  Area, I ^a   Godoy, E ^a   Ronveaux, A ^b   Zarzo, A ^c,d  

^a UNIVERSITY OF VIGO   (Spain)

^b UNIVERSITY OF NAMUR   (Belgium)

^c UNIVERSITY OF GRANADA   (Spain)

^d UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Basic hypergeometric polynomials; Connection problems; Hypergeometric polynomials; Inversion problems; Linearization problem

Indexed keywords

COMPUTATIONAL GEOMETRY; POLYNOMIALS;

ASKEY SCHEME;

LINEARIZATION;

MATHEMATICAL METHOD;

EID: 0035418011     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00640-3     Document Type: Article

References (35)

1. The modification of classical Hahn polynomials of a discrete variable
2. 2s
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4. Classical orthogonal polynomials
5. Inversion problems in the q-Hahn tableau
6. Linearization and connection coefficients for hypergeometric-type polynomials
7. Orthogonal polynomials and special functions
8. A set of orthogonal polynomials that generalize the Racah coefficients or 6-j symbols
9. Some basic hypergeometric polynomials that generalize Jacobi polynomials
10. Connection coefficients and zeros of orthogonal polynomials, this issue
11. Expansions of hypergeometric functions in hypergeometric functions
12. Projection formulas for orthogonal polynomials of a discrete variable
13. Minimal recurrence relations for connection coefficients between classical orthogonal polynomials: Continuous case
14. On the limit relations between classical continuous and discrete orthogonal polynomials
15. Linearization of products of Jacobi polynomials
16. The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
17. Representations of orthogonal polynomials
18. Compact quantum groups and q-special functions
19. Linearization of the product of associated Legendre polynomials
20. Recurrence relations for the connection coefficients of the orthogonal polynomials of a discrete variable
21. Special functions and the complex Euclidean group in 3-space, II
22. Recurrence relation for connection coefficients between two families of orthogonal polynomials
23. Transverse limits in the Askey tableau
24. Linearization and connection coefficients of orthogonal polynomials
25. The role of Hermite polynomials in asymptotics analysis
26. Certain expansions of the basic hypergeometric functions
27. Some hypergeometric orthogonal polynomials
28. Results for some inversion problems for classical continuous and discrete orthogonal polynomials