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math.CA2023
On a moment generalization of some classical second-order differential equations generating classical orthogonal polynomials
Edmundo J. Huertas, Alberto Lastra, Víctor Soto-Larrosa
The aim of the work is to construct new polynomial systems, which are solutions to certain functional equations which generalize the second-order differential equations satisfied b…
math.CA2023
Solutions of linear systems of moment differential equations via generalized matrix exponentials
Alberto Lastra, Cruz Prisuelos-Arribas
A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical…