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 | + | File:Complex hankel H1 sub 1.png|[[Domain coloring]] of [[analytic continuation]] of $H_1^{(1)}(z)$. |
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Revision as of 19:58, 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.
Domain coloring of analytic continuation of $H_1^{(1)}(z)$.
