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Minimal recurrence formulas for orthogonal polynomials on Bernoulli's lemniscate

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Polynômes Orthogonaux et Applications

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1171))

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References

  1. ATENCIA, E.: "Polinomios ortogonales relativos a la lemniscata de Bernouilli". Ph. D. Thesis. Zaragoza, 1974.

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  2. CACHAFEIRO, A.: "Polinomios ortogonales sobre curvas armónicas de tipo racional". Ph. D. Thesis. Santiago, 1984.

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  3. DUREN, P.: "Polynomials orthogonal over a curve". Mich. Math. Jour. 12 (1965), 313–316.

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  4. FREUD, G.:"Orthogonal Polynomials". Pergamon Press. New York, 1971.

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  5. LEMPERT, L.: "Recursion for orthogonal polynomials on complex domains". Coll. Math. Soc. Janos Bolyai, 481–494. North Holland, 1976.

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  6. MARCELLAN, F.: "Polinomios ortogonales sobre cassinianas". Ph. D. Thesis. Zaragoza, 1976.

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  7. MARCELLAN, F. and BOADA, C.: "Extensión de productos escalares relativos a lemniscatas". Rev. Univ. Santander, 2 (I) (1979) 161–168.

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  8. MARCELLAN, F, and MORAL, L.: "Clasificación de fórmulas de recurrencia para polinomios ortogonales sobre la lemniscata de Bernouilli". Tech. Repport. Madrid, 1984.

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  9. MORAL, L.: "Polinomios ortogonales sobre curvas equipotenciales racionales". Ph. D. Thesis. Zaragoza, 1983.

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  10. SZEGÖ, G.: "Orthogonal Polynomials". A.M.S. (4th. ed.). Rhode Island, 1975.

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  11. WIDOM, H.: "Extremal polynomials associated with a system curves in the complex domain". Adv. in Math. Academic Press. New York, 1969.

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, E.T.S. Ingenieros Industriales, Madrid, Spain

    F. Marcellán & L. Moral

Authors
  1. F. Marcellán
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  2. L. Moral
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Editor information

Claude Brezinski André Draux Alphonse P. Magnus Pascal Maroni André Ronveaux

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© 1985 Springer-Verlag

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Marcellán, F., Moral, L. (1985). Minimal recurrence formulas for orthogonal polynomials on Bernoulli's lemniscate. In: Brezinski, C., Draux, A., Magnus, A.P., Maroni, P., Ronveaux, A. (eds) Polynômes Orthogonaux et Applications. Lecture Notes in Mathematics, vol 1171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076546

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  • DOI: https://doi.org/10.1007/BFb0076546

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16059-5

  • Online ISBN: 978-3-540-39743-4

  • eBook Packages: Springer Book Archive

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