Asymptotic expansion of the Mathieu and prolate spheroidal eigenvalues for large parameter c

Canadian Journal of Physics

Volumn 77, Issue 8, 1999, Pages 635-652

  Do Nhat, Tam ^a  

^a Box 136 ^*  (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0004264027     PISSN: 00084204     EISSN: None     Source Type: Journal    
DOI: 10.1139/p99-062     Document Type: Article

References (10)

1. C. Flammer. Spheroidal wave functions. Stanford University Press, Stanford, Calif. 1957.
2. B.P. Sinha, R.H. MacPhie, and T. Prasad. IEEE Trans. Antennas Propagat. 21, 406 (1973).
3. G. Blanch. Rend. Circ. Mat. Palermo. Ser. 2, 15, 51 (1966).
4. M. Abramowitz and A. Stegun. Handbook of mathematical functions. Dover, New York. 1970.
5. N.W. Mclachlan. Theory and application of Mathieu functions. Clarendon Press, Oxford. 1947.
6. J. Meixner, F.W. Schafke, and G. Wolf. Mathieu functions and spheroidal functions and their mathematical foundations. Springer-Verlag, Berlin, Heidelberg, New York. 1980.
7. M.R. Campbell. Theorie generale de l'équation de Mathieu et de quelques autres equations differentielles de la mechanique. Masson et Cie Editeurs, Paris. 1955.
8. L.J. Chu and J.A. Stratton. J. Math. Phys. 20(3), 1 (1941).
9. J.A. Stratton, P.M. Morse, L.J. Chu, J.D.C. Little, and F.J. Corbato. Spheroidal wave functions. John Wiley and Sons, New York. 1956.
10. National Bureau of Standards. Tables relating to Mathieu functions, characteristic value, and joining factors. NBS59, Columbia University Press 13. 1967.