Mathieu function

In mathematics, the Mathieu Functions are solutions to the Mathieu differential equation, which is

${\displaystyle {\frac {d^{2}y}{dx^{2}}}+[p-2q\cos(2x)]y=0}$

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. Andcrews University.