Sinhc function: Difference between revisions

Revision as of 21:51, 22 April 2021

Revision as of 19:27, 27 May 2021

Line 35:

==Series expansion==

: <math>\operatorname{Sinhc} z \approx \left(1+\frac {1}{3} z^2+\frac{2}{15}z^4+\frac {17}{315}z^6 + \frac{62}{2835} z^8 +\frac{1382}{155925} z^{10}+ \frac{21844}{6081075} z^{12} +\frac {929569}{638512875} z^{14}+O (z^{16}) \right)</math>

This is clearly incorrect. The correct series is

: <math>\sum_{i=0}^\infty \frac{z^{2i}}{(2i+1)!}</math>.