TABLES OF SPHEROIDAL WAVE FUNCTIONS. PART 2 - PROLATE RADIAL FUNCTIONS OF THE FIRST AND SECOND TYPE,
Abstract
The theory of prolate spheroidal wave functions is briefly reviewed. Formulas useful for the numerical calculation of prolate radial function of the first and second type, together with their first derivatives, are derived and explained. A step-by-step procedure of computation is then outlined together with an indication of precision achieved and method of checking. Finally a computer-printout tabulation of 66,600 entries comprising prolate radial functions and their first derivatives of both types is reproduced. The range of parameters m, l, h, and xi covered in these tables is m=0 and 1, l=m(1)18, h=0.1(0.1)1(0.2)8, and xi=1.01(0.01) 1.10. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 31, 1967
- Accession Number
- AD0650575
Entities
People
- Berthel K. Carmichael
- R. V. Baier
- S. Hanish
- W. H. Buckler
Organizations
- United States Naval Research Laboratory