Difference between revisions of "Spherical Hankel h (1)"

From specialfunctionswiki
Jump to: navigation, search
 
(9 intermediate revisions by the same user not shown)
Line 3: Line 3:
 
where $j_{\nu}$ is the [[Spherical Bessel j sub nu|spherical Bessel function of the first kind]] and $y_{\nu}$ is the [[Spherical Bessel y sub nu|spherical Bessel function of the second kind]].
 
where $j_{\nu}$ is the [[Spherical Bessel j sub nu|spherical Bessel function of the first kind]] and $y_{\nu}$ is the [[Spherical Bessel y sub nu|spherical Bessel function of the second kind]].
  
<center>{{:Bessel functions footer}}</center>
+
<div align="center">
 +
<gallery>
 +
File:Complex spherical hankel h1 sub 1.png|[[Domain coloring]] of $h_1^{(1)}(z)$.
 +
</gallery>
 +
</div>
 +
 
 +
=See Also=
 +
[[Spherical Bessel j|Spherical Bessel $j$]] <br />
 +
[[Spherical Bessel y|Spherical Bessel $y$]]<br />
 +
 
 +
{{:Hankel functions footer}}
 +
 
 +
[[Category:SpecialFunction]]

Latest revision as of 23:58, 22 December 2016

The spherical Hankel function $h_{\nu}^{(1)}$ is defined by $$h_{\nu}^{(1)}(z)=j_{\nu}(z)+iy_{\nu}(z),$$ where $j_{\nu}$ is the spherical Bessel function of the first kind and $y_{\nu}$ is the spherical Bessel function of the second kind.

See Also

Spherical Bessel $j$
Spherical Bessel $y$

Hankel functions