Accession Number : AD0692121

Title :   ON THE SPHEROIDAL FUNCTIONS OF THE FIRST KIND,

Corporate Author : NORTH CAROLINA STATE UNIV RALEIGH

Personal Author(s) : Rhodes,Donald R.

Report Date : 23 JUN 1969

Pagination or Media Count : 42

Abstract : A number of new properties of the spheroidal functions of the first kind of arbitrary order alpha <-1 are established, including double orthogonality over two separate intervals simultaneously and the existance of a new kind of characteristic numbers gamma sub(alpha n) that arise from it. A comprehensive collection of computational formulas are derived and a few numerical results are shown. (Author)

Descriptors :   (*SPECIAL FUNCTIONS(MATHEMATICAL), NUMERICAL ANALYSIS), DIFFERENTIAL EQUATIONS, INTEGRAL EQUATIONS, WAVE FUNCTIONS, NUMERICAL INTEGRATION, IDENTITIES, POLYNOMIALS, SERIES(MATHEMATICS), TABLES(DATA), ANTENNAS, SYNTHESIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE