DLMF:13.13.E9 (Q4486)

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Language	Label	Description	Also known as
English	DLMF:13.13.E9	No description defined

Statements

Defining formula

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

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DLMF:13.13.E9

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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.m2abdec

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Defining formula

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

C5.S2.SS3.m1ahdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5ahdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1hdec

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Defining formula

{\displaystyle{\displaystyle y}}

C13.S1.XMD5.m1hdec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1hdec

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