Por José Agapito Ruiz (Investigador no Centro de Análise Funcional, Estruturas Lineares e Aplicações da Universidade de Lisboa).
Using the framework of partitions and rook placements, we study, in particular, the action of the Weyl algebra on the geometric series, obtaining a generalization of the Worpitzky identity and new recursive formulas for a family of polynomials that include the classical Eulerian polynomials.
This is joint work with Pasquale Petrullo, Domenico Senato, and Maria Manuel Torres.
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