View source for Recurrence relation for Struve function (2)

==Theorem==
The following formula holds:
$$\mathbf{H}_{\nu-1}(z)-\mathbf{H}_{\nu+1}(z) = 2\mathbf{H}_{\nu}'(z) - \dfrac{z^{\nu}}{2^{\nu}\sqrt{\pi}\Gamma(\nu+\frac{3}{2})},$$
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=Recurrence relation for Struve fuction|next=Derivative of Struve H0}}: $12.1.10$

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