DLMF:13.21.E20 (Q4628)

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Language	Label	Description	Also known as
English	DLMF:13.21.E20	No description defined

Statements

Defining formula

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

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DLMF:13.21.E20

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

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Defining formula

{\displaystyle{\displaystyle\operatorname{arccos}\NVar{z}}}

C4.S23.SS2.p1.m6adec

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Defining formula

{\displaystyle{\displaystyle\operatorname{arctan}\NVar{z}}}

C4.S23.SS2.p1.m7aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1qdec

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Defining formula

{\displaystyle{\displaystyle X}}

C13.S21.XMD5.m1adec

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