A NOTE ON THE KLEIN-GORDON EQUATION AND ITS SOLUTIONS WITH APPLICATIONS TO CERTAIN BOUNDARY-VALUE-PROBLEMS INVOLVING WAVES IN PLASMA AND INTHE ATMOSPHERE

Certain algebraic solutions of the Klein-Gordon equation which involve Bessel functions are examined. It is demonstrated that these function s constitute an infinite series, each term of which is the solution of a boundary value problem involving a combination of source functions which comprise delta functions and their derivatives to infinite order . In addition, solutions to the homogeneous equation are constructed w hich comprise a continuous spectrum over non-integer order. These solu tions are discussed in the context of wave propagation in isotropic co ld plasma and the atmosphere.