DLMF:35.6.E7 (Q9808)

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Language	Label	Description	Also known as
English	DLMF:35.6.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{1}F_{1}}\left({a\atop b};\mathbf{T}\right)=% \mathrm{etr}\left(\mathbf{T}\right){{}_{1}F_{1}}\left({b-a\atop b};-\mathbf{T}% \right).}}

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DLMF:35.6.E7

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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.m2aedec

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Defining formula

{\displaystyle{\displaystyle\mathrm{etr}\left(\NVar{\mathbf{X}}\right)}}

C35.S1.p3.t1.r10.m3acdec

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Defining formula

{\displaystyle{\displaystyle a}}

C35.S1.XMD1.m1edec

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Defining formula

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

C35.S1.XMD11.m1fdec

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Defining formula

{\displaystyle{\displaystyle b}}

C35.S1.XMD2.m1edec

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