High Quality Content by WIKIPEDIA articles! In mathematics, the Mathieu functions are certain special functions useful for treating a variety of problems in applied mathematics,Mathieu's differential equations arise when the four-dimensional wave equation is written in elliptic cylinder coordinates, followed by a separation of variables. In the algebraic form, it can be seen to be a special case of the spheroidal wave equation.Various special functions related to the Mathieu functions are implemented in computer algebra systems such as Mathematica.

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