Formula:5326

Digital Library of Mathematical Functions ID 13.21.E21

${\displaystyle{\displaystyle\widehat{\zeta}=\left(\frac{3}{2\kappa}\left(\frac{1}{2}X+\mu\ln\left(\frac{x\sqrt{\kappa^{2}-\mu^{2}}}{\kappa x-2\mu^{2}-\mu X}\right)+\kappa\ln\left(\frac{2\sqrt{\kappa^{2}-\mu^{2}}}{x-2\kappa+X}\right)\right)\right)^{2/3},}}$

Constraint(s)

${\displaystyle{\displaystyle x\geq 2\kappa+2\sqrt{\kappa^{2}-\mu^{2}}}}$

Symbols List

• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle X}}$: 13.21.E18
 

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