Solution of cauchy’s problem for the wave equation$\left( {\frac{{\partial ^2 }}{{\partial t^2 }} - \nabla ^2 + k^2 } \right)\psi = 0$

Summary

A method given by Copson has been generalised here to obtain a solution of Cauchy’s problem for the wave equation ∂² u/∂t ²−∇² u+k ² u=0 in any odd number of spatial dimensions. The method does not involve the use of any device for evaluating the divergent integrals.