Formula:2421

Digital Library of Mathematical Functions ID 4.39.E1

${\displaystyle{\displaystyle\tanh z=\cfrac{z}{1+\cfrac{z^{2}}{3+\cfrac{z^{2}}{5+\cfrac{z^{2}}{7+\cdots}}}},}}$

Constraint(s)

${\displaystyle{\displaystyle z\neq\pm\tfrac{1}{2}\pi\mathrm{i},\pm\tfrac{3}{2}\pi\mathrm{i},\dots}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\tanh\NVar{z}}}$: hyperbolic tangent function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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