Name
Title | ||
|---|---|---|
Recurrence relations for the coefficients of the Fourier series expansions with respect to q-classical orthogonal polynomials |
Abstract | ||
|---|---|---|
We propose an algorithm to construct recurrence relations for the coefficients of the Fourier series expansions with respect
to the q-classical orthogonal polynomials pk(x;q). Examples dealing with inversion problems, connection between any two sequences of q-classical polynomials, linearization
of ϑm(x) pn(x;q), where ϑm(x) is xmor (x;q)m, and the expansion of the Hahn-Exton q-Bessel function in the little q-Jacobi polynomials are discussed in detail. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1023/A:1019139731216 | Numerical Algorithms |
Keywords | Field | DocType |
recurrence relations,q-difference equations,q-classical orthogonal polynomials,q-Hahn class,Fourier coefficients,linearization problem,connection problem,33C25,33D45 | Wilson polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Gegenbauer polynomials,Discrete orthogonal polynomials,Jacobi polynomials,Hahn polynomials,Mathematics,Difference polynomials | Journal |
Volume | Issue | ISSN |
23 | 1 | 1572-9265 |
Citations | PageRank | References |
1 | 0.38 | 1 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stanisław Lewanowicz | 1 | 95 | 9.43 |
| Eduardo Godoy | 2 | 18 | 6.92 |
| Iván Area | 3 | 23 | 5.48 |
| A. RONVEAUX | 4 | 24 | 9.81 |
| Alejandro Zarzo | 5 | 9 | 2.41 |