Solutions of linear systems of moment differential equations via generalized matrix exponentials

2023/05/04 by Lastra, Alberto, Prisuelos-Arribas, Cruz · 1 citation
#15A16 #30D15 #34A08 #34M03 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.03147

Abstract

A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix. This object serves as a practical tool to express the solutions of linear systems of moment differential equations in a compact manner, in the spirit of the classical exponential matrix.

Cited by

• Dunkl derivative from moment differentiation

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