Tables of Radial Spheroidal Wave Functions. Volume 2. Prolate, m = 1.

This volume is volume 2 of a series of six volumes published by the Naval Research Laboratory containing tabulation of explicit values of radial spheroidal wave functions of both oblate and prolate kinds over extended ranges of parameters. It is designed to provide the mathematical physicist and research engineer with accurate values of important but not easily calculated functions needed to solve boundary value problems of radiation, scattering, and propagation of scalar or vector waves in spheroidal coordinates. This series vastly extends the scope and accuracy of existing tabulations of radial spheroidal wave functions. The presence of many of the entries was made possible only through adoption of calculation techniques involving extreme precision. This was particularly true in the calculation of the characteristic values for the radial equation resulting from separation of the Helmholtz wave equation in spheroidal coordinates, a knowledge of which is essential in the calculation of spheroidal angle functions. (Author)