View source for Relationship between Bessel J and hypergeometric 0F1

==Theorem==
The following formula holds:
$$J_{\nu}(z) = \left( \dfrac{z}{2} \right)^{\nu} \dfrac{1}{\Gamma(\nu+1)} {}_0F_1 \left(-;\nu+1;-\dfrac{z^2}{4} \right),$$
where $J_{\nu}$ denotes the [[Bessel J|Bessel function of the first kind]], $\Gamma$ denotes the [[gamma]] function and ${}_0F_1$ denotes the [[hypergeometric pFq]].

==Proof==

==References==