Mathieu function: Difference between revisions

Revision as of 00:23, 4 October 2005

Revision as of 00:24, 4 October 2005

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For this example, the [[McLaurin series]] is

:<math>C(1,\frac{1}{5},x) = 1 - \frac{3}{10} \, x^2 - \frac{31}{600} \, x^4 + \frac{1613}{9000} \, x^6 + O(x^8)</math>

A noteworthy special case is

:<math>C(a,0,x) = \cos(\sqrt{a} x), \; S(a,0,x) = \frac{\sin(\sqrt{a} x)}{\sqrt{a}}</math>

==Periodic solutions==