DLMF:14.15.E1 (Q4847)

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Language	Label	Description	Also known as
English	DLMF:14.15.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{-\mu}_{\nu}\left(\pm x\right)=\left(% \frac{1\mp x}{1\pm x}\right)^{\mu/2}\left(\sum_{j=0}^{J-1}\frac{{\left(\nu+1% \right)_{j}}{\left(-\nu\right)_{j}}}{j!\Gamma\left(j+1+\mu\right)}\left(\frac{% 1\mp x}{2}\right)^{j}+O\left(\frac{1}{\Gamma\left(J+1+\mu\right)}\right)\right% )}}

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DLMF:14.15.E1

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2adec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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Ferrers function of the first kind

Defining formula

{\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}% \right)}}

C14.S3.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle x}}

C14.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C14.S1.XMD7.m1dec

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Defining formula

{\displaystyle{\displaystyle\nu}}

C14.S1.XMD8.m1dec

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Defining formula

{\displaystyle{\displaystyle J}}

C14.S15.XMD1.m1dec

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Sitelinks

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