DLMF:17.6.E29
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Formula:6093
- Label: DLMF:17.6.E29
Digital Library of Mathematical Functions ID 17.6.E29
Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \qgenhyperphi{2}{1}@@{a,b}{c}{q}{z}=\left(\frac{-1}{2\pi i}\right)\frac{\qmultiPochhammersym{a,b}{q}{\infty}}{\qmultiPochhammersym{q,c}{q}{\infty}}\int_{-i\infty}^{i\infty}\frac{\qmultiPochhammersym{q^{1+\zeta},cq^{\zeta}}{q}{\infty}}{\qmultiPochhammersym{aq^{\zeta},bq^{\zeta}}{q}{\infty}}\frac{\pi(-z)^{\zeta}}{\sin@{\pi\zeta}}\diff{\zeta},}
Constraint(s)
Symbols List
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \diff{\NVar{x}}} : differential of x
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \iunit} : imaginary unit
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \int} : integral
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}} : basic hypergeometric (or $$q$$ -hypergeometric) function
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle \qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}} :
- Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}} : sine function
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle q} : complex base
- Failed to parse (LaTeXML (experimental; uses MathML) timeout from "http://latexml:8080/convert/".): {\displaystyle z} : complex variable
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