## Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation

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- by C. Díaz-Mendoza, P. González-Vera and M. Jiménez-Paiz PDF
- Math. Comp.
**74**(2005), 1843-1870 Request permission

## Abstract:

Starting from a strong Stieltjes distribution $\phi$, general sequences of orthogonal Laurent polynomials are introduced and some of their most relevant algebraic properties are studied. From this perspective, the connection between certain quadrature formulas associated with the distribution $\phi$ and two-point Padé approximants to the Stieltjes transform of $\phi$ is revisited. Finally, illustrative numerical examples are discussed.## References

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## Additional Information

**C. Díaz-Mendoza**- Affiliation: Department of Mathematical Analysis, La Laguna University, 38271 La Laguna, Tenerife, Canary Islands, Spain
- Email: cjdiaz@ull.es
**P. González-Vera**- Affiliation: Department of Mathematical Analysis, La Laguna University, 38271 La Laguna, Tenerife, Canary Islands, Spain
**M. Jiménez-Paiz**- Affiliation: Department of Mathematical Analysis, La Laguna University, 38271 La Laguna, Tenerife, Canary Islands, Spain
- Received by editor(s): May 5, 2003
- Received by editor(s) in revised form: May 4, 2004
- Published electronically: June 7, 2005
- Additional Notes: This work was supported by the Scientific Research Projects of the Ministerio de Ciencia y Tecnología and Comunidad Autónoma de Canarias under contracts BFM2001-3411 and PI 2002/136, respectively.
- © Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp.
**74**(2005), 1843-1870 - MSC (2000): Primary 42C05, 41A55
- DOI: https://doi.org/10.1090/S0025-5718-05-01763-1
- MathSciNet review: 2164100