DLMF:14.7.E7 (Q4759): Difference between revisions

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Latest revision as of 01:28, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:14.7.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle Q_{n}\left(x\right)=\frac{1}{2}P_{n}\left(x\right% )\ln\left(\frac{x+1}{x-1}\right)-W_{n-1}(x),}}

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DLMF:14.7.E7

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{\displaystyle{\displaystyle n=0,1,2,\dots}}

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Defining formula

{\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}

C18.S3.T1.t1.r10.m2acdec

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2aadec

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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.m5aadec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1fdec

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Defining formula

{\displaystyle{\displaystyle n}}

C14.S1.XMD6.m1edec

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Defining formula

{\displaystyle{\displaystyle W_{n-1}(x)}}

C14.S7.XMD1.m1ddec

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Sitelinks

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