Formula:4560

Digital Library of Mathematical Functions ID 10.68.E2

${\displaystyle{\displaystyle N_{\nu}\left(x\right)e^{i\phi_{\nu}\left(x\right)}=\operatorname{ker}_{\nu}x+i\operatorname{kei}_{\nu}x,}}$

Symbols List

• ${\displaystyle{\displaystyle\operatorname{kei}_{\NVar{\nu}}\left(\NVar{x}\right)}}$: Kelvin function
• ${\displaystyle{\displaystyle\operatorname{ker}_{\NVar{\nu}}\left(\NVar{x}\right)}}$: Kelvin function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle N_{\NVar{\nu}}\left(\NVar{x}\right)}}$: modulus of derivatives of Bessel functions
• ${\displaystyle{\displaystyle\phi_{\NVar{\nu}}\left(\NVar{x}\right)}}$: phase of derivatives of Bessel functions
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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