DLMF:19.11.E16 (Q6295)

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Language	Label	Description	Also known as
English	DLMF:19.11.E16	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\Pi\left(\psi,\alpha^{2},k\right)=2\Pi\left(\theta% ,\alpha^{2},k\right)+\alpha^{2}R_{C}\left(\gamma-\delta,\gamma\right),}}

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DLMF:19.11.E16

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Carlson’s combination of inverse circular and inverse hyperbolic functions

Defining formula

{\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}

C19.S2.E17.m2abdec

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Legendre’s incomplete elliptic integral of the third kind

Defining formula

{\displaystyle{\displaystyle\Pi\left(\NVar{\phi},\NVar{\alpha}^{2},\NVar{k}% \right)}}

C19.S2.E7.m2abdec

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Defining formula

{\displaystyle{\displaystyle k}}

C19.S1.XMD5.m1ndec

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Defining formula

{\displaystyle{\displaystyle\alpha^{2}}}

C19.S1.XMD7.m1ddec

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Defining formula

{\displaystyle{\displaystyle\theta}}

C19.S11.XMD1.m1odec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C19.S11.XMD10.m1dec

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angle (locally)

Defining formula

{\displaystyle{\displaystyle\psi}}

C19.S11.XMD8.m1ddec

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Defining formula

{\displaystyle{\displaystyle\gamma}}

C19.S11.XMD9.m1dec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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