View source for Recurrence relation for Struve fuction

==Theorem==
The following formula holds:
$$\mathbf{H}_{\nu-1}(z)+\mathbf{H}_{\nu+1}(z) = \dfrac{2\nu}{z} \mathbf{H}_{\nu}(z) + \dfrac{z^{\nu}}{2^{\nu}\sqrt{\pi}\Gamma(\nu+\frac{3}{2})},$$
where $\mathbf{H}$ denotes the [[Struve function]], $\pi$ denotes [[pi]], and $\Gamma$ denotes the [[gamma]] function.

==Proof==

==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Integral representation of Struve function (3)|next=}}: $12.1.9$

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