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DLMF:17.2.E12

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Formula:5999
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MaRDI QIDQ5999

  • Label: DLMF:17.2.E12


Digital Library of Mathematical Functions ID 17.2.E12

( a ⁒ q - n ; q ) n ( b ⁒ q - n ; q ) n = ( q / a ; q ) n ( q / b ; q ) n ⁒ ( a b ) n . q-Pochhammer-symbol π‘Ž superscript π‘ž 𝑛 π‘ž 𝑛 q-Pochhammer-symbol 𝑏 superscript π‘ž 𝑛 π‘ž 𝑛 q-Pochhammer-symbol π‘ž π‘Ž π‘ž 𝑛 q-Pochhammer-symbol π‘ž 𝑏 π‘ž 𝑛 superscript π‘Ž 𝑏 𝑛 {\displaystyle{\displaystyle\frac{\left(aq^{-n};q\right)_{n}}{\left(bq^{-n};q% \right)_{n}}=\frac{\left(q/a;q\right)_{n}}{\left(q/b;q\right)_{n}}\left(\frac{% a}{b}\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}}}} :
  • q π‘ž {\displaystyle{\displaystyle q}} : complex base
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 11:30.
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