Quelques valeurs prises par les polynômes de Macdonald décalés
Lassalle, Michel
Annales de l'Institut Fourier, Tome 49 (1999), p. 543-561 / Harvested from Numdam
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Nous explicitons la valeur de certains des coefficients binomiaux généralisés associés aux polynômes de Macdonald, c’est-à-dire la valeur en certains points particuliers des polynômes de Macdonald décalés. Ces expressions font intervenir les fonctions hypergéométriques de base q.

We give explicit expressions for some generalized binomial coefficients associated with Macdonald polynomials, i.e., the value at some special points of shifted Macdonald polynomials. These expressions are obtained in terms of q-basic hypergeometric series.

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     author = {Lassalle, Michel},
     title = {Quelques valeurs prises par les polyn\^omes de Macdonald d\'ecal\'es},
     journal = {Annales de l'Institut Fourier},
     volume = {49},
     year = {1999},
     pages = {543-561},
     doi = {10.5802/aif.1682},
     mrnumber = {1697372},
     zbl = {0930.11006},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/AIF_1999__49_2_543_0}
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Lassalle, Michel. Quelques valeurs prises par les polynômes de Macdonald décalés. Annales de l'Institut Fourier, Tome 49 (1999) pp. 543-561. doi : 10.5802/aif.1682. http://gdmltest.u-ga.fr/item/AIF_1999__49_2_543_0/

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