Difference between revisions of "Hankel H (1)"

From specialfunctionswiki
Jump to: navigation, search
Line 5: Line 5:
 
<div align="center">
 
<div align="center">
 
<gallery>
 
<gallery>
File:Complex hankel H1 sub 1.png|[[Domain coloring]] of [[analytic continuation]].
+
File:Complex hankel H1 sub 1.png|[[Domain coloring]] of [[analytic continuation]] of $H_1}^{(1)}(z)$.
 
</gallery>
 
</gallery>
 
</div>
 
</div>

Revision as of 19:57, 19 May 2015

The Hankel functions of the first kind are defined by $$H_{\nu}^{(1)}(z)=J_{\nu}(z)+iY_{\nu}(z),$$ where $J_{\nu}$ is the Bessel function of the first kind and $Y_{\nu}$ is the Bessel function of the second kind. Note the similarity of these functions to the Hankel functions of the second kind.