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Le calcul des formes lineaires et les polynômes orthogonaux semi-classioues

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1329)

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  • Umbral Calculus
  • Distributional Weight Function
  • Proposition Suivante

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References

  1. R.D. MORTON, A.M. KRALL, Distributional weight functions for orthogonal polynomials. SIAM, J. Math. Anal. 9 (1978), p. 604–626.

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  2. S.M. ROMAN, G.C. ROTA. The Umbral calculus. Adv. in Math. 27 (1978), p. 95–188.

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  3. P. MARONI. Une caractérisation des polynômes orthogonaux semi-classiques C.R. Acad. Sc. Paris, 301 série I, no6 (1985), p 269–272.

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  4. P. MARONI. Prolégomènes a l'étude des polynômes orthogonaus semi-classiques. Publ. Labo. Anal. Num. Univ. P. et M. Curie, C.N.R.S. no 85013 (1985) Paris.

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  5. W. HAHN. Uber Differentialgleichungen für Orthogonalpolynome. Monat. Math. 95, (1983), p. 269–274.

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  6. P. MARONI. Introduction à l'étude des δ-polynômes orthogonaux semi-classiques. Actas III Simposium Poli. Orto. y Apli. Segovia, Juin 1985. Edit. F. Marcellán, Dep. Mat., José Gutiérrez Abascal, 2, 28006 Madrid.

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  7. F. TREVES, Topological vector spaces, distributions and Kernels. Acad. Press (1967).

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  8. P. MARONI. Sur quelques espaces de distributions qui sont des formes linéaires sur l'espace vectoriel des polynômes. Symposium Laguerre, Bar-le-Duc (1984). Lecture Notes 1171 (1985).

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© 1988 Springer-Verlag

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Maroni, P. (1988). Le calcul des formes lineaires et les polynômes orthogonaux semi-classioues. In: Alfaro, M., Dehesa, J.S., Marcellan, F.J., Rubio de Francia, J.L., Vinuesa, J. (eds) Orthogonal Polynomials and their Applications. Lecture Notes in Mathematics, vol 1329. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083367

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  • DOI: https://doi.org/10.1007/BFb0083367

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  • Print ISBN: 978-3-540-19489-7

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