Difference between revisions of "Derivative of delta cosh"
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(Created page with "<div class="toccolours mw-collapsible mw-collapsed" style="width:800px"> <strong>Theorem:</strong> Let $p\in C_{rd}$. If $-\mu p^2 \in \mathcal{R}...") |
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− | + | ==Theorem== | |
− | + | Let $p\in C_{rd}$. If $-\mu p^2 \in \mathcal{R}$, then | |
$$\cosh^{\Delta}_p = p\sinh_p,$$ | $$\cosh^{\Delta}_p = p\sinh_p,$$ | ||
where $\cosh_p$ denotes the [[Delta cosh|$\Delta$-$\cosh_p$]] function and $\sinh_p$ denotes the [[Delta sinh | $\Delta$-$\sinh_p$]] function. | where $\cosh_p$ denotes the [[Delta cosh|$\Delta$-$\cosh_p$]] function and $\sinh_p$ denotes the [[Delta sinh | $\Delta$-$\sinh_p$]] function. | ||
− | + | ||
− | + | ==Proof== | |
− | + | ||
− | + | ==References== | |
+ | |||
+ | [[Category:Theorem]] | ||
+ | [[Category:Unproven]] |
Latest revision as of 21:29, 9 June 2016
Theorem
Let $p\in C_{rd}$. If $-\mu p^2 \in \mathcal{R}$, then $$\cosh^{\Delta}_p = p\sinh_p,$$ where $\cosh_p$ denotes the $\Delta$-$\cosh_p$ function and $\sinh_p$ denotes the $\Delta$-$\sinh_p$ function.