Dans ce papier, on définit une suite de polynômes dépendant seulement du choix de deux fonctions analytiques dans un voisinage de zéro. Pour une paire de fonctions réciproques A et B, on montre l'identité , qui généralise l'identité de Carlitz sur les polynômes de Bernoulli.
In this paper, we define a sequence of polynomials depending only on the choice of two analytic functions A and H in a neighborhood of zero. For a pair of compositional inverses A and B, we will show the identity , which generalize the Carlitz's identity on Bernoulli polynomials.
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@article{CRMATH_2015__353_9_773_0, author = {Mihoubi, Miloud and Saidi, Yamina}, title = {An identity on pairs of {Appell-type} polynomials}, journal = {Comptes Rendus. Math\'ematique}, pages = {773--778}, publisher = {Elsevier}, volume = {353}, number = {9}, year = {2015}, doi = {10.1016/j.crma.2015.06.013}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2015.06.013/} }
TY - JOUR AU - Mihoubi, Miloud AU - Saidi, Yamina TI - An identity on pairs of Appell-type polynomials JO - Comptes Rendus. Mathématique PY - 2015 SP - 773 EP - 778 VL - 353 IS - 9 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2015.06.013/ DO - 10.1016/j.crma.2015.06.013 LA - en ID - CRMATH_2015__353_9_773_0 ER -
%0 Journal Article %A Mihoubi, Miloud %A Saidi, Yamina %T An identity on pairs of Appell-type polynomials %J Comptes Rendus. Mathématique %D 2015 %P 773-778 %V 353 %N 9 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2015.06.013/ %R 10.1016/j.crma.2015.06.013 %G en %F CRMATH_2015__353_9_773_0
Mihoubi, Miloud; Saidi, Yamina. An identity on pairs of Appell-type polynomials. Comptes Rendus. Mathématique, Tome 353 (2015) no. 9, pp. 773-778. doi : 10.1016/j.crma.2015.06.013. http://archive.numdam.org/articles/10.1016/j.crma.2015.06.013/
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