DLMF:13.6.E19 (Q4406): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:13.6.E19	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle U\left(-n,\alpha+1,z\right)=(-1)^{n}{\left(\alpha% +1\right)_{n}}M\left(-n,\alpha+1,z\right)=(-1)^{n}n!L^{(\alpha)}_{n}\left(z% \right).}}

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DLMF:13.6.E19

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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.m2ajdec

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Kummer confluent hypergeometric function

Defining formula

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

C13.S2.E6.m2aidec

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Defining formula

{\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}

C18.S3.T1.t1.r12.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.m5abdec

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Defining formula

{\displaystyle{\displaystyle n}}

C13.S1.XMD2.m1cdec

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