Mar 17, 2012 Thread starter #1 Alexmahone Active member Jan 26, 2012 268 Differentiate $x^{1/2}\left[c_1J_{1/4}(x^2/2)+c_2J_{-1/4}(x^2/2)\right]$.
Mar 17, 2012 #2 chisigma Well-known member Feb 13, 2012 1,704 Alexmahone said: Differentiate $x^{1/2}\left[c_1J_{1/4}(x^2/2)+c_2J_{-1/4}(x^2/2)\right]$. Click to expand... A general formula is... $\displaystyle J_{\nu}^{'}(x)= \frac{1}{2}\ \{J_{\nu-1}(x)-J_{\nu+1}(x)\}$ (1) Kind regards $\chi$ $\sigma$
Alexmahone said: Differentiate $x^{1/2}\left[c_1J_{1/4}(x^2/2)+c_2J_{-1/4}(x^2/2)\right]$. Click to expand... A general formula is... $\displaystyle J_{\nu}^{'}(x)= \frac{1}{2}\ \{J_{\nu-1}(x)-J_{\nu+1}(x)\}$ (1) Kind regards $\chi$ $\sigma$