DLMF:13.13.E6 (Q4483)

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No description defined

Language	Label	Description	Also known as
English	DLMF:13.13.E6	No description defined

Statements

Defining formula

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

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DLMF:13.13.E6

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

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$$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function

Defining formula

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

C13.S2.E2.m2aedec

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Defining formula

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

C5.S2.SS3.m1aedec

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base of natural logarithm

Defining formula

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

C4.S2.E11.m2abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1edec

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Defining formula

{\displaystyle{\displaystyle x}}

C13.S1.XMD4.m1edec

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Defining formula

{\displaystyle{\displaystyle y}}

C13.S1.XMD5.m1edec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aedec

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Sitelinks

Wikipedia(0 entries)

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