DLMF:16.18.E1 (Q5280): Difference between revisions

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‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11125 / rank
 
Normal rank
Property / Symbols used: Q11125 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperF{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{z}}}

\genhyperF{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{z}}
Property / Symbols used: Q11125 / qualifier
 
xml-id: C16.S2.m1adec
Property / Symbols used
 
Property / Symbols used: Meijer $$G$$ -function / rank
 
Normal rank
Property / Symbols used: Meijer $$G$$ -function / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \MeijerG{\NVar{m}}{\NVar{n}}{\NVar{p}}{\NVar{q}}@@{\NVar{z}}{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}}

\MeijerG{\NVar{m}}{\NVar{n}}{\NVar{p}}{\NVar{q}}@@{\NVar{z}}{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}
Property / Symbols used: Meijer $$G$$ -function / qualifier
 
xml-id: C16.S17.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11690 / rank
 
Normal rank
Property / Symbols used: Q11690 / qualifier
 
Defining formula:

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

p
Property / Symbols used: Q11690 / qualifier
 
xml-id: C16.S1.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q11691 / rank
 
Normal rank
Property / Symbols used: Q11691 / qualifier
 
Defining formula:

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

q
Property / Symbols used: Q11691 / qualifier
 
xml-id: C16.S1.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q11692 / rank
 
Normal rank
Property / Symbols used: Q11692 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q11692 / qualifier
 
xml-id: C16.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11693 / rank
 
Normal rank
Property / Symbols used: Q11693 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,a_{1},\ldots,a_{p}}

a,a_{1},\ldots,a_{p}
Property / Symbols used: Q11693 / qualifier
 
xml-id: C16.S1.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q11694 / rank
 
Normal rank
Property / Symbols used: Q11694 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b,b_{1},\ldots,b_{q}}

b,b_{1},\ldots,b_{q}
Property / Symbols used: Q11694 / qualifier
 
xml-id: C16.S1.XMD5.m1dec

Latest revision as of 14:43, 2 January 2020

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DLMF:16.18.E1
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperF{p}{q}@@{a_{1},\dots,a_{p}}{b_{1},\dots,b_{q}}{z}=\left({\textstyle\ifrac{\prod\limits_{k=1}^{q}\EulerGamma@{b_{k}}}{\prod\limits_{k=1}^{p}\EulerGamma@{a_{k}}}}\right)\MeijerG{1}{p}{p}{q+1}@@{-z}{1-a_{1},\dots,1-a_{p}}{0,1-b_{1},\dots,1-b_{q}}=\left({\textstyle\ifrac{\prod\limits_{k=1}^{q}\EulerGamma@{b_{k}}}{\prod\limits_{k=1}^{p}\EulerGamma@{a_{k}}}}\right)\MeijerG{p}{1}{q+1}{p}@@{-\frac{1}{z}}{1,b_{1},\dots,b_{q}}{a_{1},\dots,a_{p}}.}
    0 references
    DLMF id
    DLMF:16.18.E1
    0 references
    Symbols used
    gamma function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    xml-id
    C5.S2.E1.m2adec
    0 references
    Q11125
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperF{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{z}}}
    xml-id
    C16.S2.m1adec
    0 references
    Meijer $$G$$ -function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \MeijerG{\NVar{m}}{\NVar{n}}{\NVar{p}}{\NVar{q}}@@{\NVar{z}}{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}}
    xml-id
    C16.S17.E1.m2adec
    0 references
    Q11690
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p}
    xml-id
    C16.S1.XMD1.m1dec
    0 references
    Q11691
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
    xml-id
    C16.S1.XMD2.m1dec
    0 references
    Q11692
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C16.S1.XMD3.m1dec
    0 references
    Q11693
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,a_{1},\ldots,a_{p}}
    xml-id
    C16.S1.XMD4.m1dec
    0 references
    Q11694
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b,b_{1},\ldots,b_{q}}
    xml-id
    C16.S1.XMD5.m1dec
    0 references
     
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