DLMF:18.12.E13 (Q5655)

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Language	Label	Description	Also known as
English	DLMF:18.12.E13	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle(1-z)^{-\alpha-1}\exp\left(\frac{xz}{z-1}\right)=% \sum_{n=0}^{\infty}L^{(\alpha)}_{n}\left(x\right)z^{n},}}

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DLMF:18.12.E13

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{\displaystyle{\displaystyle|z|<1}}

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Defining formula

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

C18.S3.T1.t1.r12.m2adec

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exponential function

Defining formula

{\displaystyle{\displaystyle\exp\NVar{z}}}

C4.S2.E19.m2adec

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Defining formula

{\displaystyle{\displaystyle z}}

C18.S1.XMD2.m1ldec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1ldec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1kdec

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Sitelinks

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