DLMF:15.8.E26 (Q5083): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11647 / rank
 
Normal rank
Property / Symbols used: Q11647 / qualifier
 
test:

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

c
Property / Symbols used: Q11647 / qualifier
 
xml-id: C15.S1.XMD6.m1mdec

Latest revision as of 14:06, 2 January 2020

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DLMF:15.8.E26
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{a}{1-a}{c}{z}=(1-z)^{c-1}\frac{\EulerGamma@{c}\EulerGamma@{\tfrac{1}{2}}}{\EulerGamma@{\tfrac{1}{2}(c-a+1)}\EulerGamma@{\tfrac{1}{2}c+\tfrac{1}{2}a}}\hyperF@@{\tfrac{1}{2}c-\tfrac{1}{2}a}{\tfrac{1}{2}c+\tfrac{1}{2}a-\tfrac{1}{2}}{\tfrac{1}{2}}{(1-2z)^{2}}+(1-2z)(1-z)^{c-1}\frac{\EulerGamma@{c}\EulerGamma@{-\tfrac{1}{2}}}{\EulerGamma@{\tfrac{1}{2}c-\tfrac{1}{2}a}\EulerGamma@{\tfrac{1}{2}(c+a-1)}}\hyperF@@{\tfrac{1}{2}c-\tfrac{1}{2}a+\tfrac{1}{2}}{\tfrac{1}{2}c+\tfrac{1}{2}a}{\tfrac{3}{2}}{(1-2z)^{2}},}
    0 references
    DLMF id
    DLMF:15.8.E26
    0 references
    constraint
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{z}|<\pi}
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@{1-z}|<\pi}
    0 references
    Symbols used
    gamma function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    xml-id
    C5.S2.E1.m2ajdec
    0 references
    $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ 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.m2aodec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2apdec
    0 references
    Q10817
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
    xml-id
    C1.S9.E7.m1apdec
    0 references
    Q11644
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C15.S1.XMD3.m1ydec
    0 references
    Q11645
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C15.S1.XMD4.m1xdec
    0 references
    Q11647
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c}
    xml-id
    C15.S1.XMD6.m1mdec
    0 references
     
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