Talk:Struve function

I believe there is an error in the definition of H_v(z) using the 1F2 hypergeometric function (the last formula on the page). In the first factor, the term (z/2)^(alpha + 1/2) should simply be (z/2)^alpha. See Abramowitz and Stegun 12.1.21 (1964).

Maybe someone who knows how to edit wiki pages can fix this?

--Ryan — Preceding unsigned comment added by 65.128.10.151 (talk) 00:32, 20 April 2012 (UTC) [reply ]

According to

• https://dlmf.nist.gov/11.10#vi
• https://mathematica.stackexchange.com/a/301926/21734

the upper bound in the sum of the second formula should be

${\displaystyle {\begin{aligned}\left\lceil {\frac {n-3}{2}}\right\rceil \end{aligned}}}${\displaystyle {\begin{aligned}\left\lceil {\frac {n-3}{2}}\right\rceil \end{aligned}}}

instead of

${\displaystyle {\begin{aligned}\left\lfloor {\frac {n-1}{2}}\right\rfloor \end{aligned}}}${\displaystyle {\begin{aligned}\left\lfloor {\frac {n-1}{2}}\right\rfloor \end{aligned}}} — Preceding unsigned comment added by 2A0F:FF00:256:4300:A04F:EC4C:2D4A:1829 (talk) 01:00, 16 April 2024 (UTC) [reply ]

I stumbled onto this relationship with the iterated sine integral using WolframAlpha, I hope someone with more math knowledge than me can expand on or explain this:

${\displaystyle {\frac {1}{\pi }}\int _{0}^{\pi }\sin(\sin(x))dx=\mathbf {H} _{0}(1)}${\displaystyle {\frac {1}{\pi }}\int _{0}^{\pi }\sin(\sin(x))dx=\mathbf {H} _{0}(1)}

• Start-Class mathematics articles
• Low-priority mathematics articles