Accession Number : AD0619979

Title :   TABLES OF PROLATE SPHEROIDAL FUNCTIONS FOR M EQUALS O. VOLUME I.

Descriptive Note : Scientific rept.,

Corporate Author : MICHIGAN UNIV ANN ARBOR RADIATION LAB

Personal Author(s) : HUNTER,H. E. ; Kirk,D. B. ; Senior,T. B. A. ; Wittenberg,E. R.

Report Date : APR 1965

Pagination or Media Count : 288

Abstract : The eigenvalues lambda (c) and normalization constants N(c) are tabulated for c = 0.1(0.1)10.0 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 100:1, 10:1, 5:1 and 2:1 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)

Descriptors :   (*FUNCTIONS(MATHEMATICS), SPHERES), (*TABLES(DATA), FUNCTIONS(MATHEMATICS)), ELLIPSOIDS, PARTIAL DIFFERENTIAL EQUATIONS, SERIES(MATHEMATICS), ELECTROMAGNETIC RADIATION, SCATTERING, COMPUTER PROGRAMMING

Distribution Statement : APPROVED FOR PUBLIC RELEASE