Formula:3902

Digital Library of Mathematical Functions ID 10.18.E11

${\displaystyle{\displaystyle\tan\left(\phi_{\nu}\left(x\right)-\theta_{\nu}\left(x\right)\right)=\frac{M_{\nu}\left(x\right)\theta_{\nu}'\left(x\right)}{M_{\nu}'\left(x\right)}=\frac{2}{\pi xM_{\nu}\left(x\right)M_{\nu}'\left(x\right)},}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle M_{\NVar{\nu}}\left(\NVar{x}\right)}}$: modulus of Bessel functions
• ${\displaystyle{\displaystyle\phi_{\NVar{\nu}}\left(\NVar{x}\right)}}$: phase of derivatives of Bessel functions
• ${\displaystyle{\displaystyle\theta_{\NVar{\nu}}\left(\NVar{x}\right)}}$: phase of Bessel functions
• ${\displaystyle{\displaystyle\tan\NVar{z}}}$: tangent function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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