DLMF:13.6.E20 (Q4407)

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Language	Label	Description	Also known as
English	DLMF:13.6.E20	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(-n,z-n+1,a\right)={\left(-z\right)_{n}}M% \left(-n,z-n+1,a\right)=a^{n}C_{n}\left(z;a\right).}}

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DLMF:13.6.E20

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Defining formula

{\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}

C18.S19.T1.t1.r5.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.m2akdec

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Kummer confluent hypergeometric function

Defining formula

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

C13.S2.E6.m2ajdec

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Defining formula

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

C5.S2.SS3.m1aadec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle z}}

C13.S1.XMD6.m1sdec

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