Accession Number:

AD0650575

Title:

TABLES OF SPHEROIDAL WAVE FUNCTIONS. PART 2 - PROLATE RADIAL FUNCTIONS OF THE FIRST AND SECOND TYPE,

Descriptive Note:

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON DC

Report Date:

1967-01-31

Pagination or Media Count:

385.0

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 m0 and 1, lm118, h0.10.110.28, and xi1.010.01 1.10. Author

Subject Categories:

  • Theoretical Mathematics
  • Acoustics
  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE