$$\sinh\sqrt{k^2-\Omega^2}$$ for $k$ in Mathematica.
How do I expand this in Mathematica for $k$.
In general, What would be the expansion of $\sin x$ in powers of $n$? in Mathematica
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Welcome to Mathematics Stack Exchange! A quick tour will enhance your experience. Here are helpful tips to write a good question and write a good answer. For equations, please use MathJax. – dantopa May 23 '19 at 14:46
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$$\text{Series}\left[\sinh \left(k^2-\Omega ^2\right),{k,0,6}\right]$$$$-\sinh \left(\Omega ^2\right)+k^2 \cosh \left(\Omega ^2\right)-\frac{1}{2} k^4 \sinh \left(\Omega ^2\right)+\frac{1}{6} k^6 \cosh \left(\Omega ^2\right)+O\left(k^7\right)$$ – dantopa May 23 '19 at 14:47
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https://reference.wolfram.com/language/ref/Series.html – dantopa May 23 '19 at 14:49