MHB Differentiating Bessel functions

Thread starter alexmahone
Start date Mar 17, 2012
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Bessel Bessel functions Differentiating Functions

Mar 17, 2012

alexmahone

Differentiate $x^{1/2}\left[c_1J_{1/4}(x^2/2)+c_2J_{-1/4}(x^2/2)\right]$.

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Mar 17, 2012

chisigma

Gold Member

MHB

Alexmahone said:

Differentiate $x^{1/2}\left[c_1J_{1/4}(x^2/2)+c_2J_{-1/4}(x^2/2)\right]$.

A general formula is...

$\displaystyle J_{\nu}^{'}(x)= \frac{1}{2}\ \{J_{\nu-1}(x)-J_{\nu+1}(x)\}$ (1)

Kind regards

$\chi$ $\sigma$

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