DLMF:17.2.E25

MaRDI QIDQ6012

• Label: DLMF:17.2.E25

Digital Library of Mathematical Functions ID 17.2.E25

${\displaystyle{\displaystyle\lim_{\tau\to 0}\frac{\left(a/\tau;q\right)_{n}}{\left(b/\tau;q\right)_{n}}=\lim_{\sigma\to\infty}\frac{\left(a\sigma;q\right)_{n}}{\left(b\sigma;q\right)_{n}}=\left(\frac{a}{b}\right)^{n},}}$

Symbols List

• ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$:
• ${\displaystyle{\displaystyle q}}$: complex base
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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