Formula:10163

Digital Library of Mathematical Functions ID 32.11.E36

${\displaystyle{\displaystyle\theta_{0}=\tfrac{1}{3}d^{2}\sqrt{3}\ln 3+\tfrac{2}{3}\pi\nu+\tfrac{7}{12}\pi+\operatorname{ph}\mu+\operatorname{ph}\Gamma\left(-\tfrac{2}{3}i\sqrt{3}d^{2}\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle\operatorname{ph}}}$: phase
• ${\displaystyle{\displaystyle\nu}}$: parameter
• ${\displaystyle{\displaystyle d}}$: constant
• ${\displaystyle{\displaystyle\theta_{0}}}$: constant
• ${\displaystyle{\displaystyle\mu}}$: μ
 

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