Formula:3574

Digital Library of Mathematical Functions ID 9.9.E15

${\displaystyle{\displaystyle\mathrm{Bi}'\left(\beta_{k}\right)=(-1)^{k}\sqrt{2}e^{-\pi i/6}V\left(\tfrac{3}{8}\pi(4k-1)+\tfrac{3}{4}i\ln 2\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\beta_{\NVar{k}}}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle V}}$: expansion (locally)
 

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