Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights

Magnus, A.P.; Pierrard, V.

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Authors

Magnus, A.P.

Pierrard, V.

Discipline

Physical sciences

Subject

Fourier analysis

Polynomial approximation

Lorentzian

Orthogonal polynomials

Recurrence relations

Polynomials

Audience

Scientific

Date

2008

Metadata

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Description

One considers the recurrence relation of orthogonal polynomials related to weights |t|A(1+t2r/c2r)-B|t|A(1+t2r/c2r)-B on the whole real line, for various integer exponents 2r2r, and real A>-1A>-1, B>0B>0.

Citation

Magnus, A.P.; Pierrard, V. (2008). Formulas for recurrence coefficients of orthogonal polynomials related to Lorentzian-like weights. , Journal of Computational and Applied Mathematics, Vol. 219, Issue 2, 431-440, DOI: 10.1016/j.cam.2007.05.011.

Identifiers

uri: https://orfeo.belnet.be/handle/internal/4342

doi: http://dx.doi.org/10.1016/j.cam.2007.05.011

scopus: 2-s2.0-46749105959

Type

Article

Peer-Review

Yes

Language

eng