TABLES OF PROLATE SPHEROIDAL FUNCTIONS FOR M EQUALS O. VOLUME I.
MICHIGAN UNIV ANN ARBOR RADIATION LAB
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The eigenvalues lambda c and normalization constants Nc are tabulated for c 0.10.110.0 and n ranging from 0 up to a maximum of 20. The radial functions of the first and second kinds, and their first derivatives, are given for the same c and n for xi 1.0000500, 1.0050378, 1.0206207 and 1.1547005, corresponding to prolate spheroids of length-to-width ratios 1001, 101, 51 and 21 respectively. Values of the angular functions are contained in a companion report 7133-2-T. All computations were carried out on The University of Michigan IBM 7090 computer. The program, which can also be used for the determination of the functions of orders 1 and 2, is described in some detail. Author