Spheroidal wave equation

In mathematics, the spheroidal wave equation is given by

It is a generalization of the Mathieu differential equation. 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

See also

• Wave equation

References

• 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)