DLMF:13.2.E7 (Q4297)

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Language	Label	Description	Also known as
English	DLMF:13.2.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(-m,b,z\right)=(-1)^{m}{\left(b\right)_{m}}% M\left(-m,b,z\right)=(-1)^{m}\sum_{s=0}^{m}\genfrac{(}{)}{0.0pt}{}{m}{s}{\left% (b+s\right)_{m-s}}(-z)^{s}.}}

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DLMF:13.2.E7

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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.m2acdec

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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.m1acdec

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Defining formula

{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}

C1.S2.SS1.m1adec

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Defining formula

{\displaystyle{\displaystyle m}}

C13.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1adec

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Defining formula

{\displaystyle{\displaystyle s}}

C13.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1fdec

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