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Formula:5990

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Digital Library of Mathematical Functions ID 17.2.E3

( a ; q ) ν = ∏ j = 0 ∞ ( 1 - a ⁢ q j 1 - a ⁢ q ν + j ) , q-Pochhammer-symbol 𝑎 𝑞 𝜈 superscript subscript product 𝑗 0 1 𝑎 superscript 𝑞 𝑗 1 𝑎 superscript 𝑞 𝜈 𝑗 {\displaystyle{\displaystyle\left(a;q\right)_{\nu}=\prod_{j=0}^{\infty}\left(% \frac{1-aq^{j}}{1-aq^{\nu+j}}\right),}}


Constraint(s)

Symbols List

  • ( a ; q ) n q-Pochhammer-symbol 𝑎 𝑞 𝑛 {\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}} :
  • q 𝑞 {\displaystyle{\displaystyle q}} : complex base
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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