Difference between revisions of "Riccati-Bessel S"
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(Created page with "The Riccati-Bessel function $S_n$ is defined by the formula $$S_n(z)=\sqrt{ \dfrac{\pi x}{2} \right) J_{n+\frac{1}{2}}(z),$$ where $\pi$ denotes pi and $J_{n+\frac{1}{2}}$...") |
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The Riccati-Bessel function $S_n$ is defined by the formula | The Riccati-Bessel function $S_n$ is defined by the formula | ||
| − | $$S_n(z)=\sqrt{ \dfrac{\pi x}{2} | + | $$S_n(z)=\sqrt{ \dfrac{\pi x}{2} } J_{n+\frac{1}{2}}(z),$$ |
where $\pi$ denotes [[pi]] and $J_{n+\frac{1}{2}}$ denotes the [[Bessel J|Bessel function of the first kind]]. | where $\pi$ denotes [[pi]] and $J_{n+\frac{1}{2}}$ denotes the [[Bessel J|Bessel function of the first kind]]. | ||
Revision as of 21:02, 27 June 2016
The Riccati-Bessel function $S_n$ is defined by the formula $$S_n(z)=\sqrt{ \dfrac{\pi x}{2} } J_{n+\frac{1}{2}}(z),$$ where $\pi$ denotes pi and $J_{n+\frac{1}{2}}$ denotes the Bessel function of the first kind.
