Name
Abstract | ||
|---|---|---|
In this paper we consider polynomials orthogonal with respect to the linear functional L:P→C, defined by L[p]=∫−11p(x)(1−x2)λ−1/2exp(iζx)dx, where P is a linear space of all algebraic polynomials, λ>−1/2 and ζ∈R. We prove the existence of such polynomials for some pairs of λ and ζ, give some their properties, and finally give an application to numerical integration of highly oscillatory functions. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.aml.2009.01.049 | Applied Mathematics Letters |
Keywords | Field | DocType |
Orthogonal polynomials,Modified Gegenbauer weight function,Moments,Three-term recurrence relation,Gaussian quadrature | Wilson polynomials,Classical orthogonal polynomials,Orthogonal polynomials,Mathematical analysis,Discrete orthogonal polynomials,Gegenbauer polynomials,Jacobi polynomials,Hahn polynomials,Mathematics,Difference polynomials | Journal |
Volume | Issue | ISSN |
22 | 8 | 0893-9659 |
Citations | PageRank | References |
1 | 0.40 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gradimir V. Milovanović | 1 | 45 | 11.62 |
| Aleksandar S. Cvetković | 2 | 19 | 4.62 |
| Marija P. Stanić | 3 | 11 | 2.61 |