Difference between revisions of "Relationship between Anger function and Bessel J"
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| − | + | ==Theorem== | |
| − | + | 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 sub nu|Bessel function of the first kind]]. | ||
| − | + | ||
| − | + | ==Proof== | |
| − | + | ||
| − | + | ==References== | |
Revision as of 05:52, 6 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.
