DLMF:13.20.E15 (Q4604)

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Language	Label	Description	Also known as
English	DLMF:13.20.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle-\zeta\sqrt{\zeta^{2}-\alpha^{2}}-\alpha^{2}% \operatorname{arccosh}\left(-\frac{\zeta}{\alpha}\right)=-\frac{X}{\mu}+\frac{% 2\kappa}{\mu}\ln\left(\frac{2\kappa-X-x}{2\sqrt{\kappa^{2}-\mu^{2}}}\right)+2% \ln\left(\frac{\mu X+2\mu^{2}-\kappa x}{x\sqrt{\kappa^{2}-\mu^{2}}}\right),}}

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DLMF:13.20.E15

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

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Defining formula

{\displaystyle{\displaystyle\operatorname{arccosh}\NVar{z}}}

C4.S37.SS2.p1.m9aadec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2aedec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1ldec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C13.S20.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle X}}

C13.S20.XMD3.m1ddec

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