Formula:KLS:01.08:04

<< Formula:KLS:01.08:03

formula in The q-shifted factorial

Formula:KLS:01.08:05 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \index{q-Shifted factorial@$q$-Shifted factorial} \qPochhammer{a}{q}{0}:=1\quad\textrm{and}\quad \qPochhammer{a}{q}{k}:=\prod_{n=1}^k(1-aq^{n-1}),\quad k=1,2,3,\ldots }}

Proof

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Symbols List

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle (a;q)_n}}  : Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle q}} -Pochhammer symbol : http://dlmf.nist.gov/5.18#i http://dlmf.nist.gov/17.2#SS1.p1
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \Pi}}  : product : http://drmf.wmflabs.org/wiki/Definition:prod

Bibliography

Equation in Section 1.8 of KLS.

URL links

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<< Formula:KLS:01.08:03

formula in The q-shifted factorial

Formula:KLS:01.08:05 >>