Affiliation:
1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci, Milano, Italy
Abstract
We study the main umbral operators J, M and N associated with the Cayley
continuants U(?)n(x) and the generalized Sylvester continuants H(?)n(x)
= U(?+n)n(x). In particular, we obtain their representation in terms of
the differential operator Dx and the shift operator E. Then, by using these
representations, we obtain some combinatorial and differential identities
for the continuants U(?)n(x) and H(?)n(x).
Publisher
National Library of Serbia
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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1. Tricomi Continuants;Mathematics;2024-01-26