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Formula:2888

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Digital Library of Mathematical Functions ID 5.18.E3

( a ; q ) ∞ = ∏ k = 0 ∞ ( 1 - a ⁒ q k ) . q-Pochhammer-symbol π‘Ž π‘ž superscript subscript product π‘˜ 0 1 π‘Ž superscript π‘ž π‘˜ {\displaystyle{\displaystyle\left(a;q\right)_{\infty}=\prod_{k=0}^{\infty}(1-% aq^{k}).}}


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}}}} :
  • q π‘ž {\displaystyle{\displaystyle q}} : real or complex variable
  • k π‘˜ {\displaystyle{\displaystyle k}} : nonnegative integer
  • a π‘Ž {\displaystyle{\displaystyle a}} : real or complex variable
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This page was last edited on 28 January 2024, at 10:30.
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