View source for Hankel H (1) in terms of csc and Bessel J

==Theorem==
The following formula holds:
$$H_{\nu}^{(1)}(z)=i \csc(\nu \pi) \left[ e^{-\nu \pi i} J_{\nu}(z)-J_{-\nu}(z) \right],$$
where $H_{\nu}^{(1)}$ denotes the [[Hankel H (1)|Hankel function of the first kind]], $\csc$ denotes the [[cosecant]], $e^{-\nu \pi i}$ denotes the [[exponential]], $\pi$ denotes [[pi]], $i$ denotes the [[imaginary number]], and $J_{\nu}$ denotes the [[Bessel J|Bessel function of the first kind]].

==Proof==

==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Hankel H (1)|next=Hankel H (2)}}: 9.1.3

[[Category:Theorem]]
[[Category:Unproven]]