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References
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W. S. Aldis, "Tables for the solution of the equation ${d^2}y/d{x^2} + 1/x \cdot dy/dx - (1 + {n^2}/{x^2})y = 0$ ," Proc. Roy. Soc. London, v. 64, 1899, pp. 203–223.
- Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642 A. Fletcher, J. C. P. Miller, L. Rosenhead & L. J. Comrie, An Index of Mathematical Tables, second edition, Addison-Wesley Publishing Company, Reading, Massachusetts, 1962, v. I, pp. 417–418, 423.
- Carson Flammer, Spheroidal wave functions, Stanford University Press, Stanford, California, 1957. MR 0089520
- David Slepian, Some asymptotic expansions for prolate spheroidal wave functions, J. Math. and Phys. 44 (1965), 99–140. MR 179392, DOI 10.1002/sapm196544199
- David Slepian and Estelle Sonnenblick, Eigenvalues associated with prolate spheroidal wave functions of zero order, Bell System Tech. J. 44 (1965), 1745–1759. MR 183103, DOI 10.1002/j.1538-7305.1965.tb04200.x H. E. Hunter, D. B. Kirk, T. B. A. Senior & H. R. Wittenberg, Tables of Spheroidal Functions for $m = 0$, Vols. I & II, Radiation Laboratory, University of Michigan, Ann Arbor, Michigan, 1965.
- Philip M. Morse and Herman Feshbach, Methods of theoretical physics. 2 volumes, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0059774
- A. H. Stroud and Don Secrest, Gaussian quadrature formulas, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0202312 Arthur Cayley, "Tables of the developments of functions in the theory of elliptic motion," Memoirs of the Royal Astronomical Society, v. 29, 1861, pp. 191–306.
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 731-746
- DOI: https://doi.org/10.1090/S0025-5718-67-99903-6