Relationship between Weber function 2 and Struve function 2

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Theorem

The following formula holds: $$\mathbf{E}_2(z)=\dfrac{2z}{3\pi} - \mathbf{H}_2(z),$$ where $\mathbf{E}_2$ denotes a Weber function and $\mathbf{H}_2$ denotes a Struve function.

Proof

References