DLMF:17.7.E5

MaRDI QIDQ6098

• Label: DLMF:17.7.E5

Digital Library of Mathematical Functions ID 17.7.E5

${\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({a,b,c\atop e,f};q,q\right)+\frac{\left(q/e,a,b,c,qf/e;q\right)_{\infty}}{\left(e/q,aq/e,bq/e,cq/e,f;q\right)_{\infty}}\*{{}_{3}\phi_{2}}\left({aq/e,bq/e,cq/e\atop q^{2}/e,qf/e};q,q\right)=\frac{\left(q/e,f/a,f/b,f/c;q\right)_{\infty}}{\left(aq/e,bq/e,cq/e,f;q\right)_{\infty}},}}$

Symbols List

• ${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},\dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$: basic hypergeometric (or $$q$$ -hypergeometric) function
• ${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle q}}$: complex base
 

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