DLMF:29.5.E6 (Q8624): 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: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / rank | |||
Normal rank | |||
Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier | |||
Defining formula: 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}}}\hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}} | |||
Property / Symbols used: $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function / qualifier | |||
xml-id: C15.S2.E1.m2aadec |
Revision as of 15:46, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:29.5.E6 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lim_{k\to 1-}\frac{\LameEc{m}{\nu}@{z}{k^{2}}}{\left.\ideriv{\LameEc{m}{\nu}@{z}{k^{2}}}{z}\right|_{z=0}}=\lim_{k\to 1-}\frac{\LameEs{m+1}{\nu}@{z}{k^{2}}}{\left.\ideriv{\LameEs{m+1}{\nu}@{z}{k^{2}}}{z}\right|_{z=0}}=\frac{\tanh@@{z}}{(\cosh@@{z})^{\mu}}\hyperF@@{\tfrac{1}{2}\mu-\tfrac{1}{2}\nu+\tfrac{1}{2}}{\tfrac{1}{2}\mu+\tfrac{1}{2}\nu+1}{\tfrac{3}{2}}{\tanh^{2}@@{z}},}
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DLMF:29.5.E6
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
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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.m2aadec
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