DLMF:14.7.E20 (Q4772)

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Language	Label	Description	Also known as
English	DLMF:14.7.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{n=0}^{\infty}\mathsf{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(1-x^{2}\right)^{1/2}}\right).}}

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DLMF:14.7.E20

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principal branch of logarithm function

Defining formula

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

C4.S2.E2.m2abdec

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Defining formula

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

C14.S2.SS2.p2.m4abdec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1sdec

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Defining formula

{\displaystyle{\displaystyle n}}

C14.S1.XMD6.m1qdec

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Defining formula

{\displaystyle{\displaystyle h}}

C14.S7.XMD2.m1adec

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