Accession Number : AD0803249

Title :   THE RADIAL PROLATE SPHEROIDAL FUNCTIONS.

Descriptive Note : Technical rept.,

Corporate Author : UNIVERSITY OF SOUTHERN CALIFORNIA LOS ANGELES DEPT OF ELECTRICAL ENGINEERING

Personal Author(s) : Chang, C. ; Yeh, C.

Report Date : JUN 1966

Pagination or Media Count : 526

Abstract : The radial prolate spheroidal functions of the first and second kind and their derivatives (R1,2 sub m,n(C,E); R1,2' sub m,n(C,E)) are tabulated for m = 0(1)9, n = m(1)9, c = 0.1(0.1)1.0(0.2)6.0, Epsilon = 1.005(0.001)1.01 (0.01)1.1(0.15)1.25(0.25)2.0(3.0)5.0(5.0)10.0, to eight figures. For values of m<3, tabulation begins from Epsilon = 1.004; for values of m>6 tabulation begins for Epsilon = 1.008. (Author)

Descriptors :   (*SPECIAL FUNCTIONS(MATHEMATICAL), TABLES(DATA)), (*WAVE FUNCTIONS, NUMERICAL ANALYSIS), SCATTERING, SOUND, ANTENNA RADIATION PATTERNS, SPHERES, GEOMETRY, DIFFERENTIAL EQUATIONS.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE