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A code to evaluate prolate and oblate spheroidal harmonics. (English) Zbl 0937.65021
The authors present two FORTRAN 77 codes to evaluate prolate and oblate spheroidal harmonics. Subprogram specifications, performance of the codes, test runs and physical examples are included. The program is obtainable from QPC Program Library, Queen’s University of Belfast(Program title: DPROH, DOBLH; Catalog identifier ADHD).

65D20Computation of special functions, construction of tables
33C55Spherical harmonics
Full Text: DOI
[1] Hobson, E. W.: The theory of spherical and ellipsoidal harmonics. (1965) · Zbl 0004.21001
[2] Lebedev, N. N.: Special functions & their applications. (1972) · Zbl 0271.33001
[3] Gil, A.; Segura, J.: Evaluation of Legendre functions of argument greater than one. Comput. phys. Commun. 105, 273 (1997) · Zbl 0930.65010
[4] Abramowitz, M.; Stegun, J.: Handbook of mathematical functions. (1972) · Zbl 0543.33001
[5] Gautschi, W.: SIAM rev.. 9, 24-82 (1967)
[6] Thompson, I. J.; Barnett, A. R.: J. comput. Phys.. 64, 490-509 (1986)
[7] Press, W. H.; Teukolski, S. A.; Vetterling, W. T.; Flannery, B. P.: Numerical recipes in Fortran. 257 ff (1992) · Zbl 0778.65002