Difference between revisions of "Hankel H (2)"
From specialfunctionswiki
| Line 1: | Line 1: | ||
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|Bessel function of the first kind]] and $Y_{\nu}$ is the [[Bessel Y | + | where $J_{\nu}$ is the [[Bessel J|Bessel function of the first kind]] and $Y_{\nu}$ is the [[Bessel Y|Bessel function of the second kind]]. Note the similarity of these functions to the [[Hankel H (1)|Hankel functions of the first kind]]. |
<div align="center"> | <div align="center"> | ||
Revision as of 04:12, 11 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.
Domain coloring of analytic continuation of $H_1^{(2)}(z)$.
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): 9.1.4
Hankel $H_{\nu}^{(2)}$
