2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57463Generalised definitions of exponential, trigonometric sine and cosine and hyperbolic sine and cosine functions are given. In the lowest order, these functions correspond to ordinary exponential, trigonometric sine etc. Some of the properties of the generalised functions are discussed. Importance of these functions and their possible applications are also considered.8 figures in ps format; thoroughly revised and corrected versionMathematical PhysicsClassical Analysis and ODEs34A25; 34A34; 33B10text