DLMF:16.2.E4 (Q5186): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:16.2.E4	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\sum_{k=0}^{m}\frac{{\left(\mathbf{a}\right)_{k}}}% {{\left(\mathbf{b}\right)_{k}}}\frac{z^{k}}{k!}=\frac{{\left(\mathbf{a}\right)% _{m}}z^{m}}{{\left(\mathbf{b}\right)_{m}}m!}{{}_{q+2}F_{p}}\left({-m,1,1-m-% \mathbf{b}\atop 1-m-\mathbf{a}};\frac{(-1)^{p+q+1}}{z}\right).}}

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DLMF:16.2.E4

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Defining formula

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

C16.S2.m1abdec

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Defining formula

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

C5.S2.SS3.m1abdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5aadec

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Defining formula

{\displaystyle{\displaystyle p}}

C16.S1.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle q}}

C16.S1.XMD2.m1cdec

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Defining formula

{\displaystyle{\displaystyle z}}

C16.S1.XMD3.m1bdec

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