Formula:KLS:14.05:60

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle h_0=\int_{z_- q^\mathbb{Z}\cup z_+ q^\mathbb{Z}}\frac{\qPochhammer{ax,bx}{q}{\infty}}{\qPochhammer{cx,dx}{q}{\infty}} d_qx }}

Substitution(s)

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle h_0=(1-q)c \frac{\qPochhammer{q,-d/c,-qc/d,q^2ab}{q}{\infty}} {\qPochhammer{qa,qb,-qbc/d,-qad/c}{q}{\infty}}}} &
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle h_0 =(1-q)z_+ \frac{\qPochhammer{q,a/c,a/d,b/c,b/d}{q}{\infty}}{\qPochhammer{ab/(qcd)}{q}{\infty}} \frac{\theta(z_-/z_+,cdz_-z_+;q)}{\theta(cz_-,dz_-,cz_+,dz_+;q)}}}


Proof

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Symbols List

& : logical and
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \int}}  : integral : http://dlmf.nist.gov/1.4#iv
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

Bibliography

Equation in Section 14.5 of KLS.

URL links

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