DLMF:15.8.E32 (Q5089)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:15.8.E32 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\left(1-z^{3}\right)^{a}}{\left(-z\right)^{3a}}\left(\frac{1}{\EulerGamma@{a+\frac{2}{3}}\EulerGamma@{\frac{2}{3}}}\hyperF@@{a}{a+\frac{1}{3}}{\frac{2}{3}}{z^{-3}}+\frac{e^{\frac{1}{3}\pi\iunit}}{z\EulerGamma@{a}\EulerGamma@{\frac{4}{3}}}\hyperF@@{a+\frac{1}{3}}{a+\frac{2}{3}}{\frac{4}{3}}{z^{-3}}\right)=\frac{3^{\frac{3}{2}a+\frac{1}{2}}e^{\frac{1}{2}a\pi\iunit}\EulerGamma@{a+\frac{1}{3}}(1-\zeta)^{a}}{2\pi\EulerGamma@{2a+\frac{2}{3}}(-\zeta)^{2a}}\hyperF@@{a+\frac{1}{3}}{3a}{2a+\frac{2}{3}}{\zeta^{-1}},}
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DLMF:15.8.E32
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@{-z}|<\frac{1}{3}\pi}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z|>1}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\operatorname{ph}\left(-z\right)|<\frac{1}{3}\pi}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2amdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}
C15.S2.E1.m2audec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2asdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
C1.S9.E7.m1asdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C15.S1.XMD3.m1aedec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C15.S1.XMD4.m1addec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta}
C15.S8.XMD1.m1dec
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