Some properties associated with Hermite matrix polynomials. (English) Zbl 1262.15023

The paper presents a different approach of a bilinear generating function of Hermite matrix polynomials. Finite summations and linearization are given. Some relation between Hermite and Gegenbauer matrix polynomials are given. The techniques are standard.
According to the website http://bkocay.cs.umanitoba.ca/utilitas/index.html, Utilitas Mathematica is a journal publishing discrete and combinatorial mathematics. However, this paper belongs to analysis and is not in the scope of the journal.


15A54 Matrices over function rings in one or more variables
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory