Accurate calculation of prolate spheroidal radial functions of the first kind and their first derivatives

Quarterly of Applied Mathematics

Volumn 60, Issue 3, 2002, Pages 589-599

  Van Buren, Arnie L ^a   Boisvert, Jeffrey E ^a  

^a NAVAL UNDERSEA WARFARE CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BESSEL FUNCTIONS; DIFFERENTIAL EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; FORTRAN (PROGRAMMING LANGUAGE); THEOREM PROVING; WAVE EQUATIONS;

HELMHOLTZ WAVE EQUATION; LEGENDRE FUNCTIONS; PROLATE SPHEROIDAL RADIAL FUNCTIONS;

FUNCTION EVALUATION;

EID: 0036678434     PISSN: 0033569X     EISSN: None     Source Type: Journal    
DOI: 10.1090/qam/1914443     Document Type: Article

References (20)

1. A Fortran computer program for calculating the prolate spheroidal radial functions of the first and second kind and their first derivatives
2. A Fortran computer program for calculating the prolate and oblate angle functions of the first kind and their first and second derivatives
3. Tables of radial spheroidal wave functions, volumes 1, 2, 3, prolate, m = 0, 1, 2
4. Tables of angular spheroidal wave functions, vol. I, prolate, m = 0
5. A Fortran computer program for calculating the oblate spheroidal radial functions of the first and second kind and their first derivatives
6. Tables of radial spheroidal wave functions, volumes 4, 5, 6, oblate, m = 0, 1, 2
7. Tables of angular spheroidal wave functions, vol. II, oblate, m = 0
8. A Fortran computer program for calculating the prolate spheroidal angular functions of the first kind
9. A Fortran computer program for calculating the linear prolate functions
10. Mathieusche Funktionen und Sphäroidfunktionen, mit Anwendungen auf physikalische und technische Probleme
11. A general addition theorem for spheroidal wave functions
12. Translational addition theorems for spheroidal scalar and vector wave functions
13. Rotational-translational addition theorems for scalar spheroidal wave functions
14. Theoretical and numerical treatment of diffraction through a circular aperture
15. Elliptic and spheroidal wave functions
16. The electrical oscillations of a prolate spheroid