Difference between revisions of "Relationship between Bessel I and Bessel J"

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(Created page with "<div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</strong> The following formula holds: $$I_n(x)...")
 
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Revision as of 19:09, 6 June 2016

Theorem: The following formula holds: $$I_n(x)=i^{-n}J_n(ix),$$ where $I_n$ denotes the modified Bessel $I$ and $J_n$ denotes the Bessel function of the first kind.

Proof: