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In [[mathematics]], the '''Mathieu Functions''' are solutions to the [[Mathieu differential equation]], which is
 
:<math> \frac{d^2y}{dx^2}+[p-2q\cos (2x) ]y=0 </math>
 
The Mathieu equation and its solutions are the basis to understand the phenomenon of [[parametric resonance]]. The equation and function are named after [[Emile Mathieu]].
 
 
== External links ==
 
*[http://mathworld.wolfram.com/MathieuFunction.html Mathworld] at Wolfram.
*[http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Mathieu_Emile.html Emile Mathieu biography] at [[St. AndcrewsAndrews University.]]
 
[[Category:Special functions]]