lemniscateSin( z )
The lemniscate sine of z in Math. A special case of the Jacobi elliptic sine:
\[ \operatorname{sl}( z ) = \operatorname{sn}( z | -1 ) \]Real part on the real axis:
Imaginary part on the real axis is zero.
Real part on the imaginary axis is zero.
Imaginary part on the imaginary axis:
Real part on the complex plane:
Imaginary part on the complex plane:
Absolute value on the complex plane:
Related functions: sn lemniscateCos
Function category: elliptic functions