Difference between revisions of "Hankel H (1)"
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[[Bessel J|Bessel $J$]]<br /> | [[Bessel J|Bessel $J$]]<br /> | ||
[[Bessel Y|Bessel $Y$]]<br /> | [[Bessel Y|Bessel $Y$]]<br /> | ||
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| + | =References= | ||
| + | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Bessel Y|next=Hankel H (1) in terms of csc and Bessel J}}: 9.1.3 | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 04:01, 11 June 2016
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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Hankel $H_{\nu}^{(1)}$
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 9.1.3
