Difference between revisions of "Spherical Bessel j"
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The spherical Bessel function of the first kind is defined by | The spherical Bessel function of the first kind is defined by | ||
$$j_{\nu}(z)=\sqrt{\dfrac{\pi}{2z}}J_{\nu + \frac{1}{2}}(z),$$ | $$j_{\nu}(z)=\sqrt{\dfrac{\pi}{2z}}J_{\nu + \frac{1}{2}}(z),$$ | ||
| − | where $J_{\nu}$ denotes the [[Bessel J | + | where $J_{\nu}$ denotes the [[Bessel J|Bessel function of the first kind]]. |
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| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Domcolsphericalbesseljsub0.png|[[Domain coloring]] of $j_0$. | ||
| + | </gallery> | ||
| + | </div> | ||
=Properties= | =Properties= | ||
| − | < | + | [[Relationship between spherical Bessel j sub nu and sine]]<br /> |
| − | + | ||
| − | + | =References= | |
| − | + | ||
| − | + | {{:Bessel functions footer}} | |
| − | + | ||
| − | + | [[Category:SpecialFunction]] | |
Latest revision as of 22:44, 20 June 2016
The spherical Bessel function of the first kind is defined by $$j_{\nu}(z)=\sqrt{\dfrac{\pi}{2z}}J_{\nu + \frac{1}{2}}(z),$$ where $J_{\nu}$ denotes the Bessel function of the first kind.
Domain coloring of $j_0$.
Properties
Relationship between spherical Bessel j sub nu and sine
References
Spherical Bessel $j_{\nu}$
