Nous donnons le développement analytique explicite de tout polynôme de Jack ou de Macdonald sur les fonctions symétriques élémentaires (resp. complètes modifiées). Nous obtenons ces deux développements par inversion de la formule de Pieri.
We give the explicit analytic development of any Jack or Macdonald polynomial in terms of elementary (resp. modified complete) symmetric functions. These two developments are obtained by inverting the Pieri formula.
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@article{CRMATH_2003__337_9_569_0, author = {Lassalle, Michel and Schlosser, Michael}, title = {An analytic formula for {Macdonald} polynomials}, journal = {Comptes Rendus. Math\'ematique}, pages = {569--574}, publisher = {Elsevier}, volume = {337}, number = {9}, year = {2003}, doi = {10.1016/j.crma.2003.09.020}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2003.09.020/} }
TY - JOUR AU - Lassalle, Michel AU - Schlosser, Michael TI - An analytic formula for Macdonald polynomials JO - Comptes Rendus. Mathématique PY - 2003 SP - 569 EP - 574 VL - 337 IS - 9 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2003.09.020/ DO - 10.1016/j.crma.2003.09.020 LA - en ID - CRMATH_2003__337_9_569_0 ER -
%0 Journal Article %A Lassalle, Michel %A Schlosser, Michael %T An analytic formula for Macdonald polynomials %J Comptes Rendus. Mathématique %D 2003 %P 569-574 %V 337 %N 9 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2003.09.020/ %R 10.1016/j.crma.2003.09.020 %G en %F CRMATH_2003__337_9_569_0
Lassalle, Michel; Schlosser, Michael. An analytic formula for Macdonald polynomials. Comptes Rendus. Mathématique, Tome 337 (2003) no. 9, pp. 569-574. doi : 10.1016/j.crma.2003.09.020. http://archive.numdam.org/articles/10.1016/j.crma.2003.09.020/
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