Formula:5316

Digital Library of Mathematical Functions ID 13.21.E11

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \sqrt{4\mu^{2}-\kappa\zeta}-\mu\ln@{\frac{2\mu+\sqrt{4\mu^{2}-\kappa\zeta}}{2\mu-\sqrt{4\mu^{2}-\kappa\zeta}}}=\tfrac{1}{2}X+\mu\ln@{\frac{x\sqrt{\kappa^{2}-\mu^{2}}}{2\mu^{2}-\kappa x+\mu X}}+\kappa\ln@{\frac{2\sqrt{\kappa^{2}-\mu^{2}}}{2\kappa-x-X}},}

Constraint(s)

${\displaystyle{\displaystyle 0<x\leq 2\kappa-2\sqrt{\kappa^{2}-\mu^{2}}}}$

Symbols List

• ${\displaystyle{\displaystyle\ln\NVar{z}}}$: principal branch of logarithm function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle X}}$: 13.21.E9
 

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