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Formula:5994

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Digital Library of Mathematical Functions ID 17.2.E7

( a ; q - 1 ) n = ( a - 1 ; q ) n ⁒ ( - a ) n ⁒ q - ( n 2 ) , q-Pochhammer-symbol π‘Ž superscript π‘ž 1 𝑛 q-Pochhammer-symbol superscript π‘Ž 1 π‘ž 𝑛 superscript π‘Ž 𝑛 superscript π‘ž binomial 𝑛 2 {\displaystyle{\displaystyle\left(a;q^{-1}\right)_{n}=\left(a^{-1};q\right)_{n% }(-a)^{n}q^{-\genfrac{(}{)}{0.0pt}{}{n}{2}},}}


Constraint(s)

Symbols List

  • ( m n ) binomial π‘š 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}} :
  • ( 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}} : complex base
  • n 𝑛 {\displaystyle{\displaystyle n}} : 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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