DLMF:14.7.E22 (Q4774)

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Language	Label	Description	Also known as
English	DLMF:14.7.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=0}^{\infty}Q_{n}\left(x\right)h^{n}=\frac{% 1}{\left(1-2xh+h^{2}\right)^{1/2}}\*\ln\left(\frac{x-h+\left(1-2xh+h^{2}\right% )^{1/2}}{\left(x^{2}-1\right)^{1/2}}\right).}}

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DLMF:14.7.E22

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2acdec

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Defining formula

{\displaystyle{\displaystyle Q_{\NVar{\nu}}\left(\NVar{z}\right)=Q^{0}_{\nu}% \left(z\right)}}

C14.S2.SS2.p2.m5acdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1udec

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Defining formula

{\displaystyle{\displaystyle n}}

C14.S1.XMD6.m1sdec

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Defining formula

{\displaystyle{\displaystyle h}}

C14.S7.XMD2.m1cdec

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Sitelinks

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