Formula:3907

Digital Library of Mathematical Functions ID 10.18.E16

${\displaystyle{\displaystyle{\theta_{\nu}'^{2}}\left(x\right)+\frac{1}{2}\frac{\theta_{\nu}'''\left(x\right)}{\theta_{\nu}'\left(x\right)}-\frac{3}{4}\left(\frac{\theta_{\nu}''\left(x\right)}{\theta_{\nu}'\left(x\right)}\right)^{2}=1-\frac{\nu^{2}-\tfrac{1}{4}}{x^{2}}.}}$

Symbols List

• ${\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}$: phase of Bessel functions
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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