Abstract
In this paper, we propose the W-, K-, ?-, U-, V-, and O-functions for the
first time. The K series representations for the W-, ?-, U-, V-, and
O-functions are discussed. The derivatives, and integral transforms and
special cases for the obtained special functions are presented. The
anomalous diffusion models via derivative operators associated with the ?-
and L-functions are suggested. The obtained results are used to give the
series representations for the I-, H-, and G-functions.