Difference between revisions of "Value of Anger at 0"
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− | + | ==Theorem== | |
− | + | The following formula holds: | |
$$\textbf{J}_{\nu}(0)=\dfrac{\sin(\pi \nu)}{\pi \nu},$$ | $$\textbf{J}_{\nu}(0)=\dfrac{\sin(\pi \nu)}{\pi \nu},$$ | ||
where $\textbf{J}_{\nu}$ denotes the [[Anger function]], $\sin$ denotes the [[sine]], and $\pi$ denotes [[pi]]. | where $\textbf{J}_{\nu}$ denotes the [[Anger function]], $\sin$ denotes the [[sine]], and $\pi$ denotes [[pi]]. | ||
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− | + | ==Proof== | |
− | + | ||
− | + | ==References== |
Revision as of 04:04, 6 June 2016
Theorem
The following formula holds: $$\textbf{J}_{\nu}(0)=\dfrac{\sin(\pi \nu)}{\pi \nu},$$ where $\textbf{J}_{\nu}$ denotes the Anger function, $\sin$ denotes the sine, and $\pi$ denotes pi.