DLMF:16.4.E14

MaRDI QIDQ5905

• Label: DLMF:16.4.E14

Digital Library of Mathematical Functions ID 16.4.E14

${\displaystyle{\displaystyle{{}_{4}F_{3}}\left({-n,a,b,c\atop d,e,f};1\right)=\frac{{\left(e-a\right)_{n}}{\left(f-a\right)_{n}}}{{\left(e\right)_{n}}{\left(f\right)_{n}}}{{}_{4}F_{3}}\left({-n,a,d-b,d-c\atop d,a-e-n+1,a-f-n+1};1\right),}}$

Symbols List

• ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$: alternatively F q p ( a ; b ; z ) or F q p ( a b ; z ) generalized hypergeometric function
• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• ${\displaystyle{\displaystyle a}}$: real or complex parameters
• ${\displaystyle{\displaystyle b}}$: real or complex parameters
• ${\displaystyle{\displaystyle c}}$: real or complex parameters
• ${\displaystyle{\displaystyle d}}$: real or complex parameters
• ${\displaystyle{\displaystyle e}}$: real or complex parameters
 

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