DLMF:13.10.E10 (Q4469)

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Language	Label	Description	Also known as
English	DLMF:13.10.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}t^{\lambda-1}{\mathbf{M}}\left(a,% b,-t\right)\mathrm{d}t=\frac{\Gamma\left(\lambda\right)\Gamma\left(a-\lambda% \right)}{\Gamma\left(a\right)\Gamma\left(b-\lambda\right)},}}

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DLMF:13.10.E10

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{\displaystyle{\displaystyle 0<\Re\lambda<\Re a}}

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Defining formula

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

C5.S2.E1.m2afdec

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Olver’s confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}}

C13.S2.E3.m2afdec

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Defining formula

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

C1.S4.SS4.m1aidec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aidec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1agdec

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Sitelinks

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