
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 lengthtowidth ratios 100:1, 10:1, 5:1 and 2:1 respectively. Values of the angular functions are contained in a companion report (71332T). 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