DLMF:35.6.E1 (Q9802): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:35.6.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{1}F_{1}}\left({a\atop b};\mathbf{T}\right)=% \sum_{k=0}^{\infty}\frac{1}{k!}\sum_{|\kappa|=k}\frac{{\left[a\right]_{\kappa}% }}{{\left[b\right]_{\kappa}}}Z_{\kappa}\left(\mathbf{T}\right).}}

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DLMF:35.6.E1

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generalized hypergeometric function of matrix argument

Defining formula

{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{\mathbf{T}}\right)}}

C35.S8.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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partitional shifted factorial

Defining formula

{\displaystyle{\displaystyle{\left[\NVar{a}\right]_{\NVar{\kappa}}}}}

C35.S4.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle Z_{\NVar{\kappa}}\left(\NVar{\mathbf{T}}\right)}}

C35.S4.SS1.p3.m3adec

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Defining formula

{\displaystyle{\displaystyle a}}

C35.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\mathbf{T}}}

C35.S1.XMD11.m1dec

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Defining formula

{\displaystyle{\displaystyle b}}

C35.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle k}}

C35.S1.XMD5.m1dec

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