DLMF:13.7.E10 (Q4422)

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Language	Label	Description	Also known as
English	DLMF:13.7.E10	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(a,b,z\right)=z^{-a}\sum_{s=0}^{n-1}\frac{{% \left(a\right)_{s}}{\left(a-b+1\right)_{s}}}{s!}(-z)^{-s}+R_{n}(a,b,z),}}

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DLMF:13.7.E10

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Kummer confluent hypergeometric function

Defining formula

{\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

C13.S2.E6.m2acdec

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Defining formula

{\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

C5.S2.SS3.m1aedec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aedec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle s}}

C13.S1.XMD3.m1ddec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1gdec

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remainder (locally)

Defining formula

{\displaystyle{\displaystyle R_{n}(a,b,z)}}

C13.S7.XMD9.m1dec

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Sitelinks

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