Difference between revisions of "Spherical Hankel h (2)"

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(Created page with "The spherical Hankel function $h_{\nu}^{(2)}$ is defined by $$h_{\nu}^{(1)}(z)=j_{\nu}(z)-iy_{\nu}(z),$$ where $j_{\nu}$ is the Spherical Bessel j sub nu|spherical Bessel fu...")
 
 
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$$h_{\nu}^{(1)}(z)=j_{\nu}(z)-iy_{\nu}(z),$$
 
$$h_{\nu}^{(1)}(z)=j_{\nu}(z)-iy_{\nu}(z),$$
 
where $j_{\nu}$ is the [[Spherical Bessel j sub nu|spherical Bessel function of the first kind]] and $y_{\nu}$ is the [[Spherical Bessel y sub nu|spherical Bessel function of the second kind]].
 
where $j_{\nu}$ is the [[Spherical Bessel j sub nu|spherical Bessel function of the first kind]] and $y_{\nu}$ is the [[Spherical Bessel y sub nu|spherical Bessel function of the second kind]].
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<gallery>
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File:Complex spherical hankel h2 sub 1.png|[[Domain coloring]] of $h_1^{(2)}(z)$.
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</gallery>
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</div>
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=See Also=
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[[Spherical Bessel j|Spherical Bessel $j$]] <br />
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[[Spherical Bessel y|Spherical Bessel $y$]]<br />
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{{:Hankel functions footer}}
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[[Category:SpecialFunction]]

Latest revision as of 23:58, 22 December 2016

The spherical Hankel function $h_{\nu}^{(2)}$ is defined by $$h_{\nu}^{(1)}(z)=j_{\nu}(z)-iy_{\nu}(z),$$ where $j_{\nu}$ is the spherical Bessel function of the first kind and $y_{\nu}$ is the spherical Bessel function of the second kind.

See Also

Spherical Bessel $j$
Spherical Bessel $y$

Hankel functions