Difference between revisions of "Relationship between Anger function and Weber function"

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==References==
 
==References==
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* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Weber function|next=Relationship between Weber function and Anger function}}: 12.3.4

Latest revision as of 04:15, 6 June 2016

Theorem

The following formula holds: $$\sin(\nu\pi)\mathbf{J}_{\nu}(z)=\cos(\nu \pi)\mathbf{E}_{\nu}(z)-\mathbf{E}_{-\nu}(z),$$ where $\mathbf{J}_{\nu}$ denotes an Anger function and $\mathbf{E}_{\nu}$ denotes a Weber function.

Proof

References