Lemniscate elliptic functions: Difference between revisions

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The case ''g''<sub>2</sub>&nbsp;=&nbsp;''a'', ''g''<sub>3</sub>&nbsp;=&nbsp;0 may be handled by a scaling transformation. However, this may involve complex numbers. If it is desired to remain within real numbers, there are two cases to consider: ''a''&gtnbsp;>&nbsp;0 and ''a''&ltnbsp;<&nbsp;0. The period paralleogram is either a "square" or a "diamond".
 
==Lemniscate sine and cosine functions==