DLMF:18.17.E14 (Q5755)

From DRMF

Jump to navigation Jump to search

No description defined

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,}}

0 references

DLMF:18.17.E14

0 references

{\displaystyle{\displaystyle x>0}}

0 references

Defining formula

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

C5.S2.E1.m2afdec

0 references

Defining formula

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

C18.S3.T1.t1.r12.m2adec

0 references

Defining formula

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

C1.S4.SS4.m1amdec

0 references

Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3amdec

0 references

Defining formula

{\displaystyle{\displaystyle y}}

C18.S1.XMD1.m1idec

0 references

Defining formula

{\displaystyle{\displaystyle n}}

C18.S1.XMD6.m1mdec

0 references

Defining formula

{\displaystyle{\displaystyle x}}

C18.S2.XMD3.m1kdec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5755&oldid=60873"