Spheroidal wave equation

In mathematics, the spheroidal wave equation is given by

It is a generalization of the Mathieu differential equation.[1] If is a solution to this equation and we define , then is a prolate spheroidal wave function in the sense that it satisfies the equation[2]

See also

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References

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  1. ^ see Abramowitz and Stegun, page 722
  2. ^ see Bateman, page 442
Bibliography
  • M. Abramowitz and I. Stegun, Handbook of Mathematical function (US Gov. Printing Office, Washington DC, 1964)
  • H. Bateman, Partial Differential Equations of Mathematical Physics (Dover Publications, New York, 1944)