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 ...

In this paper, a study is made on two well-known operator matrices; the Rhaly operator Rₐ and the generalized difference operator Δab. Firstly, some compactness results for the operators Rₐ and Δab, ...