DLMF:15.8.E4 (Q5061): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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Property / Symbols used | |||
Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / rank | |||
Normal rank | |||
Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}\hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}} | |||
Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / qualifier | |||
xml-id: C15.S2.E2.m2acdec |
Revision as of 14:01, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:15.8.E4 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\sin@{\pi(c-a-b)}}{\pi}\hyperOlverF@@{a}{b}{c}{z}=\frac{1}{\EulerGamma@{c-a}\EulerGamma@{c-b}}\hyperOlverF@@{a}{b}{a+b-c+1}{1-z}-\frac{(1-z)^{c-a-b}}{\EulerGamma@{a}\EulerGamma@{b}}\hyperOlverF@@{c-a}{c-b}{c-a-b+1}{1-z},}
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DLMF:15.8.E4
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{z}|<\pi}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@{1-z}|<\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.m2abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
C1.S9.E7.m1acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}
C15.S2.E2.m2acdec
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