DLMF:13.21.E11 (Q4619)

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Language	Label	Description	Also known as
English	DLMF:13.21.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sqrt{4\mu^{2}-\kappa\zeta}-\mu\ln\left(\frac{2\mu% +\sqrt{4\mu^{2}-\kappa\zeta}}{2\mu-\sqrt{4\mu^{2}-\kappa\zeta}}\right)=\tfrac{% 1}{2}X+\mu\ln\left(\frac{x\sqrt{\kappa^{2}-\mu^{2}}}{2\mu^{2}-\kappa x+\mu X}% \right)+\kappa\ln\left(\frac{2\sqrt{\kappa^{2}-\mu^{2}}}{2\kappa-x-X}\right),}}

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DLMF:13.21.E11

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

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principal branch of logarithm function

Defining formula

{\displaystyle{\displaystyle\ln\NVar{z}}}

C4.S2.E2.m2aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1idec

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Defining formula

{\displaystyle{\displaystyle X}}

C13.S21.XMD2.m1adec

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