Formula:KLS:01.11:07

<< Formula:KLS:01.11:06

formula in The q-binomial theorem and other summation formulas

Formula:KLS:01.11:08 >>

${\displaystyle{\displaystyle{\displaystyle{}\qHyperrphis{2}{0}@@{q^{-n},b}{-}{q}{\frac{q^{n}}{b}}=\frac{1}{b^{n}}}}}$

Constraint(s)

${\displaystyle{\displaystyle{\displaystyle n=0,1,2,\ldots}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}$ : basic hypergeometric (or ${\displaystyle{\displaystyle{\displaystyle q}}}$-hypergeometric) function : http://dlmf.nist.gov/17.4#E1

Bibliography

Equation in Section 1.11 of KLS.

URL links

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<< Formula:KLS:01.11:06

formula in The q-binomial theorem and other summation formulas

Formula:KLS:01.11:08 >>