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Normally ordered forms of powers of differential operators and their combinatorics

 

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Opened Access Normally ordered forms of powers of differential operators and their combinatorics
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Author: Briand, Emmanuel
Lopes, Samuel A.
Rosas Celis, Mercedes Helena
Department: Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII)
Universidad de Sevilla. Departamento de álgebra
Date: 2018
Published in: ArXiv.org, arXiv:1811.00857
Document type: Article
Abstract: We investigate the combinatorics of the general formulas for the powers of the operator h∂k, where h is a central element of a ring and ∂ is a differential operator. This generalizes previous work on the powers of operators h∂. New formulas for the generalized Stirling numbers are obtained.
Cite: Briand, E., Lopes, S.A. y Rosas Celis, M.H. (2018). Normally ordered forms of powers of differential operators and their combinatorics. ArXiv.org, arXiv:1811.00857
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URI: https://hdl.handle.net/11441/87781

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