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 | + | 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== | ||
+ | |||
+ | [[Category:Theorem]] | ||
+ | [[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.