DLMF:18.17.E47

Math Formula Information

Formula: Failed to parse (unknown function "\LaguerrepolyL"): {\displaystyle \int_{0}^{x}t^{\alpha}\frac{\LaguerrepolyL[\alpha]{m}@{t}}{\LaguerrepolyL[\alpha]{m}@{0}}(x-t)^{\beta}\frac{\LaguerrepolyL[\beta]{n}@{x-t}}{\LaguerrepolyL[\beta]{n}@{0}}\diff{t}=\frac{\EulerGamma@{\alpha+1}\EulerGamma@{\beta+1}}{\EulerGamma@{\alpha+\beta+2}}x^{\alpha+\beta+1}\frac{\LaguerrepolyL[\alpha+\beta+1]{m+n}@{x}}{\LaguerrepolyL[\alpha+\beta+1]{m+n}@{0}}.}

Name: DLMF:18.17.E47

Description:

Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q5788