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, ...

Drazin inverses and their modern generalisations constitute a pivotal area of operator theory within Banach algebras. These inverse concepts extend the classic notion of the matrix inverse to settings ...