DLMF:29.5.E6 (Q8624): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: hyperbolic tangent function / rank
 
Normal rank
Property / Symbols used: hyperbolic tangent function / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}

\tanh@@{\NVar{z}}
Property / Symbols used: hyperbolic tangent function / qualifier
 
xml-id: C4.S28.E4.m2aadec

Revision as of 15:46, 2 January 2020

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DLMF:29.5.E6
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    Statements

    test
    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}},}
    0 references
    DLMF id
    DLMF:29.5.E6
    0 references
    constraint
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    0 references
    Symbols used
    $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
    test
    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}}}
    xml-id
    C15.S2.E1.m2aadec
    0 references
    Q12362
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LameEc{\NVar{m}}{\NVar{\nu}}@{\NVar{z}}{\NVar{k^{2}}}}
    xml-id
    C29.S3.SS4.p1.m5acdec
    0 references
    Q12364
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LameEs{\NVar{m}}{\NVar{\nu}}@{\NVar{z}}{\NVar{k^{2}}}}
    xml-id
    C29.S3.SS4.p1.m6abdec
    0 references
    derivative of $$f$$ with respect to $$x$$
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \deriv{\NVar{f}}{\NVar{x}}}
    xml-id
    C1.S4.E4.m2adec
    0 references
    hyperbolic cosine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}
    xml-id
    C4.S28.E2.m2aadec
    0 references
    hyperbolic tangent function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}
    xml-id
    C4.S28.E4.m2aadec
    0 references
     
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