Tanh of a sum
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Revision as of 22:40, 21 October 2017 by Tom (talk | contribs) (Created page with "==Theorem== The following formula holds: $$\mathrm{tanh}(z_1+z_2) = \dfrac{\tanh(z_1)+\tanh(z_2)}{1+\tanh(z_1)\tanh(z_2)},$$ where $\tanh$ denotes hyperbolic tangent....")
Theorem
The following formula holds: $$\mathrm{tanh}(z_1+z_2) = \dfrac{\tanh(z_1)+\tanh(z_2)}{1+\tanh(z_1)\tanh(z_2)},$$ where $\tanh$ denotes hyperbolic tangent.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.5.26$
