DLMF:13.8.E1 (Q4426)

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Language	Label	Description	Also known as
English	DLMF:13.8.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle M\left(a,b,z\right)=\sum_{s=0}^{n-1}\frac{{\left(% a\right)_{s}}}{{\left(b\right)_{s}}s!}z^{s}+O\left(|b|^{-n}\right).}}

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DLMF:13.8.E1

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order not exceeding

Defining formula

{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2adec

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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.m2adec

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Defining formula

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

C5.S2.SS3.m1adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle s}}

C13.S1.XMD3.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1dec

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