DLMF:16.3.E7 (Q5194): Difference between revisions

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Latest revision as of 14:30, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:16.3.E7	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{3}F_{2}}\left({a_{1}+2,a_{2},a_{3}\atop b_{1}% ,b_{2}};z\right)a_{1}(a_{1}+1)(1-z)+{{}_{3}F_{2}}\left({a_{1}+1,a_{2},a_{3}% \atop b_{1},b_{2}};z\right)a_{1}\left(b_{1}+b_{2}-3a_{1}-2+z(2a_{1}-a_{2}-a_{3% }+1)\right)+{{}_{3}F_{2}}\left({a_{1},a_{2},a_{3}\atop b_{1},b_{2}};z\right)% \left((2a_{1}-b_{1})(2a_{1}-b_{2})+a_{1}-a_{1}^{2}-z(a_{1}-a_{2})(a_{1}-a_{3})% \right)-{{}_{3}F_{2}}\left({a_{1}-1,a_{2},a_{3}\atop b_{1},b_{2}};z\right)(a_{% 1}-b_{1})(a_{1}-b_{2})=0.}}

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DLMF:16.3.E7

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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.m1aedec

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Defining formula

{\displaystyle{\displaystyle z}}

C16.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}

C16.S1.XMD4.m1ddec

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Defining formula

{\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}

C16.S1.XMD5.m1edec

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