Difference between revisions of "Hankel H (1)"
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File:Complex hankel H1 sub 1.png|[[Domain coloring]] of [[analytic continuation]] of $H_1^{(1)}(z)$. | File:Complex hankel H1 sub 1.png|[[Domain coloring]] of [[analytic continuation]] of $H_1^{(1)}(z)$. | ||
| + | File:Page 359Abramowitz-Stegun(Bessel functions).jpg|Bessel functions from [http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/ Abramowitz&Stegun] | ||
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<center>{{:Bessel functions footer}}</center> | <center>{{:Bessel functions footer}}</center> | ||
Revision as of 06:05, 10 June 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.
Domain coloring of analytic continuation of $H_1^{(1)}(z)$.
Bessel functions from Abramowitz&Stegun
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