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Line 27: :<math>cl(r)=c</math> :<math> r=\int_c^1\frac{dt}{\sqrt{1-t^4}}</math> They are doubly periodic (or elliptic) functions in the complex plane., with periods 2Ω and 2''i''Ω, where :<math>\Omega=2\int_0^1\frac{dt}{\sqrt{1-t^4}}</math> is the length of one lobe of the lemniscate, and plays roughly the same role for the lemniscate functions that π plays for the trigonometric functions. ==See also==

Lemniscate elliptic functions: Difference between revisions