DLMF:14.15.E21 (Q4867)

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Language	Label	Description	Also known as
English	DLMF:14.15.E21	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left(y-\alpha^{2}\right)^{1/2}-\alpha% \operatorname{arctan}\left(\frac{\left(y-\alpha^{2}\right)^{1/2}}{\alpha}% \right)=\operatorname{arccos}\left(\frac{x}{\left(1-\alpha^{2}\right)^{1/2}}% \right)-\frac{\alpha}{2}\operatorname{arccos}\left(\frac{\left(1+\alpha^{2}% \right)x^{2}-1+\alpha^{2}}{\left(1-\alpha^{2}\right)\left(1-x^{2}\right)}% \right),}}

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DLMF:14.15.E21

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{\displaystyle{\displaystyle y\geq\alpha^{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.m7adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1ldec

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Defining formula

{\displaystyle{\displaystyle y}}

C14.S15.XMD11.m1ddec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C14.S15.XMD9.m1edec

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