Normally ordered forms of powers of differential operators and their combinatorics

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Briand, E (Author) Other; Samuel A Lopes (Author) FCUP; Rosas, M (Author) Other

Journal

Title: Journal of Pure and Applied Algebra

Vol. 224

ISSN: 0022-4049

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22