A code to evaluate prolate and oblate spheroidal harmonics

Computer Physics Communications

Volumn 108, Issue 2-3, 1998, Pages 267-278

  Gil, A ^a,c   Segura, J ^b,c  

^a INSTITUTO DE FÍSICA CORPUSCULAR IFIC   (Spain)

^b UNIVERSITY OF ALICANTE   (Spain)

^c MIGUEL HERNÁNDEZ UNIVERSITY   (Spain)

Author keywords

Continued fraction; Legendre functions; Prolate and oblate spheroidal harmonics

Indexed keywords

EID: 0008473955     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0010-4655(97)00126-4     Document Type: Article

References (7)

1. E.W. Hobson, The theory of Spherical and Ellipsoidal harmonics (Chelsea, New York, 1965) ch. 5.
2. N.N. Lebedev, Special Functions & their Applications (Dover, New York, 1972) chs. 7, 8.
3. A. Gil, J. Segura, Evaluation of Legendre functions of argument greater than one, Comput. Phys. Commun. 105 (1997) 273.
4. M. Abramowitz, I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972) ch. 8.
5. W. Gautschi, SIAM Rev. 9 (1967) 24-82.
6. I.J. Thompson, A.R. Barnett, J. Comput. Phys. 64 (1986) 490-509.
7. W.H. Press, S.A. Teukolski, W.T. Vetterling, B.P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge Univ. Press, Cambridge, 1992) Section 6.11, pp. 257 ff.