Formula:2309

Digital Library of Mathematical Functions ID 4.35.E40

${\displaystyle{\displaystyle|\tanh z|=\left(\frac{\cosh\left(2x\right)-\cos\left(2y\right)}{\cosh\left(2x\right)+\cos\left(2y\right)}\right)^{1/2}.}}$

Symbols List

• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\cosh\NVar{z}}}$: hyperbolic cosine function
• ${\displaystyle{\displaystyle\tanh\NVar{z}}}$: hyperbolic tangent function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle y}}$: real variable
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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