Formula:6054

Digital Library of Mathematical Functions ID 17.4.E8

${\displaystyle{\displaystyle\Phi^{(4)}\left(a,b;c,c^{\prime};q;x,y\right)=\sum_{m,n\geq 0}\frac{\left(a,b;q\right)_{m+n}x^{m}y^{n}}{\left(q,c;q\right)_{m}\left(q,c^{\prime};q\right)_{n}}.}}$

Symbols List

• ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle q}}$: complex base
• ${\displaystyle{\displaystyle m}}$: nonnegative integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle y}}$: real variable
 

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