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Formula:5992

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Digital Library of Mathematical Functions ID 17.2.E5

( a 1 , a 2 , … , a r ; q ) n = ∏ j = 1 r ( a j ; q ) n , q-multiple-Pochhammer subscript π‘Ž 1 subscript π‘Ž 2 … subscript π‘Ž π‘Ÿ π‘ž 𝑛 superscript subscript product 𝑗 1 π‘Ÿ q-Pochhammer-symbol subscript π‘Ž 𝑗 π‘ž 𝑛 {\displaystyle{\displaystyle\left(a_{1},a_{2},\dots,a_{r};q\right)_{n}=\prod_{% j=1}^{r}\left(a_{j};q\right)_{n},}}


Constraint(s)

Symbols List

  • ( a ; q ) n q-Pochhammer-symbol π‘Ž π‘ž 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}} :
  • ( a 1 , a 2 , … , a r ; q ) n q-multiple-Pochhammer subscript π‘Ž 1 subscript π‘Ž 2 … subscript π‘Ž π‘Ÿ π‘ž 𝑛 {\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}} :
  • q π‘ž {\displaystyle{\displaystyle q}} : complex base
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • r π‘Ÿ {\displaystyle{\displaystyle r}} : nonnegative integer
  •  Edit this on Wikidata

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