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Van.snyder (talk | contribs) →Series expansion: was clearly incorrect. The correct result can be trivially derived from AMS 55 Equation 4.5.62. |
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: <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>.
==Padé approximation==
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