A DIGITAL COMPUTER PROGRAM IN NAREC CODE FOR CALCULATING PROLATE RADIAL SPHEROIDAL WAVE FUNCTIONS.
NAVAL RESEARCH LAB WASHINGTON D C
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The numerical computation of prolate radial spheroidal wave functions of the first and sec ond type and their derivatives as defined by Morse and Feshback Methods of Theoretical Physics, Vol. II, page 1505, McGraw-Hill, 1953 in series of spherical Bessel and spherical Neumann functions has been coded for the NAREC the high-speed digital computer at the Naval Research Laboratory. Following a brief review of the pertinent theory the author presents the complete digital computer program and explains the meaning of individual commands and blocks of commands in detail. The coded program in action accepts a read-in of the following parameters the prolate spheroidawave function expansion constants calculated by a special coded program found in Hanish and Baier, A Digital Computer Program for Calculating Spheroidal Wave Function Eigenvalues and Expansion Constants, NRL Report 5837, Jan. 31, 1963, the modal numbers m and l, the radial coordinate Xi, the ec centricity parameter h, and the total number of terms to be summed in the several series. Author