On the solutions of Klein-Gordon equation

Abstract

In this paper we find the solutions of the equation $y^{{prime}{prime}} + (lambda - Q(x))^2y - frac{n(n+1)}{x^2}y=0$, x $in R_+$ , using the solutions of the Klein -Gordon equation $y^{{prime}{prime}} - (lambda - Q(x))^2y = 0$, x $in R_+ = [0,infty)$, where Q is a real valued function, $lambda$ is a spectral parameter and n is a natural number.