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Ellipsoidal Wave Equation

The ordinary differential equation

y^('')-(a+bk^2sn^2x+qk^4sn^4x)y=0,

where snx=sn(x,k) is a Jacobi elliptic function (Arscott 1981).

See also

Lamé's Differential Equation

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References

Arscott, F. M. "The Land Beyond Bessel: A Survey of Higher Special Functions." In Ordinary and Partial Differential Equations: Proceeding of the Sixth Conference held at the University of Dundee, March 31-April 4, 1980 (Ed. W. N. Everitt and B. D. Sleeman). New York: Springer-Verlag, pp. 26-45, 1981.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 122, 1997.

Referenced on Wolfram|Alpha

Ellipsoidal Wave Equation

Cite this as:

Weisstein, Eric W. "Ellipsoidal Wave Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EllipsoidalWaveEquation.html

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