Reproducing Kernel Hilbert Space (RKHS) and Reproducing Transformation Methods for Series Summation that allow analytically obtaining alternative representations for series in the finite form are developed.

in this paper, a numerical scheme for solving singular initial/boundary value problems presented.by applying the reproducing kernel hilbert space method (rkhsm) for solving these problems,this method obtained to approximated solution. numerical examples are given to demonstrate theaccuracy of the present method. the result obtained by the method and the exact solution are foundto be in good agr...

Abstract This short note has to make alive the overlooked work of Pedrick. It is rather a tour guide than exhausted examination content and intends serve potential explorers diverse kinds reproducing kernel (Hilbert) spaces, topic mushrooming nowadays.