DLMF:18.17.E14 (Q5755)

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Language	Label	Description	Also known as
English	DLMF:18.17.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\frac{x^{\alpha+\mu}L^{(\alpha+\mu)}_{n}\left(x% \right)}{\Gamma\left(\alpha+\mu+n+1\right)}=\int_{0}^{x}\frac{y^{\alpha}L^{(% \alpha)}_{n}\left(y\right)}{\Gamma\left(\alpha+n+1\right)}\frac{(x-y)^{\mu-1}}% {\Gamma\left(\mu\right)}\mathrm{d}y,}}

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DLMF:18.17.E14

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{\displaystyle{\displaystyle x>0}}

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Defining formula

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

C5.S2.E1.m2afdec

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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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Defining formula

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

C1.S4.SS4.m1amdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3amdec

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Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1idec

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Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1mdec

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Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1kdec

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