Difference between revisions of "Kelvin bei"

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The $\mathrm{bei}_{\nu}$ function is defined as
 
The $\mathrm{bei}_{\nu}$ function is defined as
$$\mathrm{ber}(z)=\mathrm{Im} \hspace{2pt} J_{\nu} \left( x e^{\frac{3\pi i}{4}} \right),$$
+
$$\mathrm{ber}(z)=\mathrm{Im} \hspace{2pt} J_{\nu} \left( z e^{\frac{3\pi i}{4}} \right),$$
 
where $\mathrm{Im}$ denotes the [[imaginary part]] of a [[complex number]] and $J_{\nu}$ denotes the [[Bessel J sub nu|Bessel function of the first kind]].
 
where $\mathrm{Im}$ denotes the [[imaginary part]] of a [[complex number]] and $J_{\nu}$ denotes the [[Bessel J sub nu|Bessel function of the first kind]].
  

Revision as of 03:29, 21 August 2015

The $\mathrm{bei}_{\nu}$ function is defined as $$\mathrm{ber}(z)=\mathrm{Im} \hspace{2pt} J_{\nu} \left( z e^{\frac{3\pi i}{4}} \right),$$ where $\mathrm{Im}$ denotes the imaginary part of a complex number and $J_{\nu}$ denotes the Bessel function of the first kind.

<center>Kelvin functions
</center>