Formula:KLS:01.08:11

<< Formula:KLS:01.08:08

formula in The q-shifted factorial

Formula:KLS:01.08:12 >>

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \qPochhammer{a}{q}{\lambda}=\frac{\qPochhammer{a}{q}{\infty}}{\qPochhammer{aq^{\lambda}}{q}{\infty}} }}

Constraint(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle 0<|q|<1}}

Substitution(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \qPochhammer{a}{q}{\infty}=\prod_{k=0}^{\infty}(1-aq^k) =\qPochhammer{a}{q^2}{\infty}\qPochhammer{aq}{q^2}{\infty}}}

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:01.08:08

formula in The q-shifted factorial

Formula:KLS:01.08:12 >>