Difference between revisions of "Value of Anger at 0"

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(Theorem)
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The following formula holds:
 
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 an [[Anger function]], $\sin$ denotes the [[sine]], and $\pi$ denotes [[pi]].
  
 
==Proof==
 
==Proof==
  
 
==References==
 
==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 an Anger function, $\sin$ denotes the sine, and $\pi$ denotes pi.

Proof

References