Difference between revisions of "Relationship between Anger function and Bessel J"

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The following formula holds for [[integer]] $n$:
 
The following formula holds for [[integer]] $n$:
 
$$\mathbf{J}_n(z)=J_n(z),$$
 
$$\mathbf{J}_n(z)=J_n(z),$$
where $\mathbf{J}_n$ denotes an [[Anger function]] and $J_n$ denotes a [[Bessel J sub nu|Bessel function of the first kind]].
+
where $\mathbf{J}_n$ denotes an [[Anger function]] and $J_n$ denotes a [[Bessel J|Bessel function of the first kind]].
  
 
==Proof==
 
==Proof==
  
 
==References==
 
==References==
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 +
[[Category:Theorem]]
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[[Category:Unproven]]

Latest revision as of 20:27, 27 June 2016

Theorem

The following formula holds for integer $n$: $$\mathbf{J}_n(z)=J_n(z),$$ where $\mathbf{J}_n$ denotes an Anger function and $J_n$ denotes a Bessel function of the first kind.

Proof

References