DLMF:13.13.E11 (Q4488)

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Language	Label	Description	Also known as
English	DLMF:13.13.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle e^{y}\left(\frac{x}{x+y}\right)^{b-a}\sum_{n=0}^{% \infty}\frac{(-y)^{n}}{n!(x+y)^{n}}U\left(a-n,b,x\right),}}

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DLMF:13.13.E11

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{\displaystyle{\displaystyle\Re(y/x)>-\tfrac{1}{2}}}

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Kummer confluent hypergeometric function

Defining formula

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

C13.S2.E6.m2addec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2addec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5ajdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1acdec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1jdec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1jdec

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Defining formula

{\displaystyle{\displaystyle y}}

C13.S1.XMD5.m1jdec

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Sitelinks

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