DLMF:13.2.E20 (Q4310)

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Language	Label	Description	Also known as
English	DLMF:13.2.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(a,b,z\right)=\frac{\Gamma\left(1-b\right)}% {\Gamma\left(a-b+1\right)}+O\left(z^{1-\Re b}\right),}}

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DLMF:13.2.E20

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{\displaystyle{\displaystyle 0<\Re b<1}}

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order not exceeding

Defining formula

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

C2.S1.E3.m2agdec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2aidec

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Kummer confluent hypergeometric function

Defining formula

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

C13.S2.E6.m2amdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1abdec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1sdec

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Sitelinks

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