DLMF:18.17.E15 (Q5756)

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Language	Label	Description	Also known as
English	DLMF:18.17.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle e^{-x}L^{(\alpha)}_{n}\left(x\right)=\int_{x}^{% \infty}e^{-y}L^{(\alpha+\mu)}_{n}\left(y\right)\frac{(y-x)^{\mu-1}}{\Gamma% \left(\mu\right)}\mathrm{d}y,}}

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DLMF:18.17.E15

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{\displaystyle{\displaystyle\mu>0}}

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Defining formula

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

C5.S2.E1.m2agdec

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Defining formula

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

C18.S3.T1.t1.r12.m2aadec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1andec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2abdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3andec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1jdec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1ndec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1ldec

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