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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>
==Pade approximation==
<math> {\it Sinhc} \left( z \right) = \left( 1+{\frac {53272705}{360869676}}
\,{z}^{2}+{\frac {38518909}{7217393520}}\,{z}^{4}+{\frac {269197963}{
3940696861920}}\,{z}^{6}+{\frac {4585922449}{15605159573203200}}\,{z}^
{8} \right) \left( 1-{\frac {2290747}{120289892}}\,{z}^{2}+{\frac {
1281433}{7217393520}}\,{z}^{4}-{\frac {560401}{562956694560}}\,{z}^{6}
+{\frac {1029037}{346781323848960}}\,{z}^{8} \right) ^{-1}
</math>
==Gallery==
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