Difference between revisions of "Hankel H (2)"

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The Hankel functions of the second kind are defined by
 
The Hankel functions of the second kind are defined by
 
$$H_{\nu}^{(2)}(z)=J_{\nu}(z)-iY_{\nu}(z),$$
 
$$H_{\nu}^{(2)}(z)=J_{\nu}(z)-iY_{\nu}(z),$$
where $J_{\nu}$ is the [[Bessel J sub nu|Bessel function of the first kind]] and $Y_{\nu}$ is the [[Bessel Y sub nu|Bessel function of the second kind]]. Note the similarity of these functions to the [[Hankel H sub nu (1)|Hankel functions of the first kind]].
+
where $J_{\nu}$ is the [[Bessel J|Bessel function of the first kind]] and $Y_{\nu}$ is the [[Bessel Y sub nu|Bessel function of the second kind]]. Note the similarity of these functions to the [[Hankel H sub nu (1)|Hankel functions of the first kind]].
  
 
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Revision as of 20:10, 9 June 2016

The Hankel functions of the second kind are defined by $$H_{\nu}^{(2)}(z)=J_{\nu}(z)-iY_{\nu}(z),$$ 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 first kind.

See Also

Bessel $J$
Bessel $Y$

<center>Hankel functions
</center>