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Green's functions for intial value problems Trumpler, Donald Alastair

Abstract

A method is given by which a-differential equation with initial conditions can be converted into an integral equation. This procedure is used to derive the Multiplication Theorems for Bessel functions, and to obtain an expansion of the confluent hyper geometric function in terms, of Bessel functions. The method is adapted to find approximate eigenvalues: and eigenfunctions of bounded quantum mechanical problems, and to obtain an approximate solution of a non-linear differential equation.

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