In the paper, the authors establish two identities to express higher order derivatives and integer powers of the generating function of the Chebyshev polynomials of the second kind in terms of integer ...

Let Λ and Γ be Artin algebras, M a Γ-Λ-bimodule, and R the triangular matrix ring of Λ, Γ, and M; assume that R is also an Artin algebra. The R-modules are triples (U, V, f) where U is a Λ-module, V ...