Normally ordered forms of powers of differential operators and their combinatorics

• Tipo: Artigo em Revista Científica Internacional
• Data: 2020

Autores

Briand, E (Autor) Outra; Samuel A Lopes (Autor) FCUP; Rosas, M (Autor) Outra

Revista

Título: Journal of Pure and Applied Algebra

Vol. 224

ISSN: 0022-4049

Editora: Elsevier

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00R-MEW

DOI: 10.1016/j.jpaa.2020.106312

Abstract (EN): We investigate the combinatorics of the general formulas for the powers of the operator h partial derivative(d), where partial derivative is a differential operator on an arbitrary noncommutative ring in which h is central. New formulas for the generalized Stirling numbers are obtained, as well as results on the divisibility by primes of the coefficients which occur in the normally ordered form of h partial derivative(d). All of the above applies to the theory of formal differential operator rings.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 22