DLMF:18.18.E12 (Q5802)

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Language	Label	Description	Also known as
English	DLMF:18.18.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{L^{(\alpha)}_{n}\left(\lambda x\right)}{L^{(% \alpha)}_{n}\left(0\right)}=\sum_{\ell=0}^{n}\genfrac{(}{)}{0.0pt}{}{n}{\ell}% \lambda^{\ell}(1-\lambda)^{n-\ell}\frac{L^{(\alpha)}_{\ell}\left(x\right)}{L^{% (\alpha)}_{\ell}\left(0\right)}.}}

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DLMF:18.18.E12

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Defining formula

{\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}

C18.S3.T1.t1.r12.m2acdec

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Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1adec

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Defining formula

{\displaystyle{\displaystyle\ell}}

C18.S1.XMD4.m1bdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1kdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1hdec

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