Asymptotic unboundedness of the norms of delayed matrix sine and cosine

摘要

In the paper, the asymptotic properties of recently defined special matrixfunctions called delayed matrix sine and delayed matrix cosine are studied. The asymptotic unboundedness of their norms is proved. To derive this result, a formula is usedconnecting them with what is called delayed matrix exponential with asymptotic properties determined by the main branch of the Lambert function.