spheroidal wave equation
In mathematics, the spheroidal wave equation is given by
:
It is a generalization of the Mathieu differential equation.see Abramowitz and Stegun, [http://people.math.sfu.ca/~cbm/aands/page_722.htm page 722]
If is a solution to this equation and we define , then is a prolate spheroidal wave function in the sense that it satisfies the equationsee Bateman, [https://archive.org/details/partialdifferent033549mbp/page/n469, page 442]
:
See also
References
{{Reflist}}
;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)
Category:Ordinary differential equations
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