H (1/2)(z)=sqrt(2/(pi z))(1-cos(z))
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Revision as of 01:03, 21 December 2017 by Tom (talk | contribs) (Tom moved page H (1/2)(z)=(2/(pi z))^(1/2)(1-cos(z)) to H (1/2)(z)=sqrt(2/(pi z))(1-cos(z)))
Theorem
The following formula holds: $$\mathbf{H}_{\frac{1}{2}}(z) = \sqrt{\dfrac{2}{\pi z}}(1-\cos(z)),$$ where $\mathbf{H}_{\frac{1}{2}}$ denotes a Struve function, $\pi$ denotes pi, and $\cos$ denotes cosine.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $12.1.16$
