DLMF:13.20.E13 (Q4602): Difference between revisions

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Latest revision as of 14:15, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:13.20.E13	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{X+x-2\kappa}{2\sqrt{\kappa^{2}-\mu^{2}}}\right)-2% \ln\left(\frac{\kappa x-\mu X-2\mu^{2}}{x\sqrt{\kappa^{2}-\mu^{2}}}\right),}}

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DLMF:13.20.E13

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

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Defining formula

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

C4.S37.SS2.p1.m9adec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2addec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1jdec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C13.S20.XMD2.m1bdec

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Defining formula

{\displaystyle{\displaystyle X}}

C13.S20.XMD3.m1bdec

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Sitelinks

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