DLMF:13.13.E8 (Q4485): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.13.E8	No description defined

Statements

Defining formula

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

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DLMF:13.13.E8

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{\displaystyle{\displaystyle|y|<|x|}}

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Kummer confluent hypergeometric function

Defining formula

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

C13.S2.E6.m2aadec

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Defining formula

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

C5.S2.SS3.m1agdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5agdec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1gdec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1gdec

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Defining formula

{\displaystyle{\displaystyle y}}

C13.S1.XMD5.m1gdec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1gdec

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