DLMF:35.7.E3 (Q9814): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

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

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5aadec
Property / Symbols used
 
Property / Symbols used: Q12726 / rank
 
Normal rank
Property / Symbols used: Q12726 / qualifier
 
Defining formula:

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

a
Property / Symbols used: Q12726 / qualifier
 
xml-id: C35.S1.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12737 / rank
 
Normal rank
Property / Symbols used: Q12737 / qualifier
 
Defining formula:

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

t_{j}
Property / Symbols used: Q12737 / qualifier
 
xml-id: C35.S1.XMD14.m1dec
Property / Symbols used
 
Property / Symbols used: Q12728 / rank
 
Normal rank
Property / Symbols used: Q12728 / qualifier
 
Defining formula:

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

b
Property / Symbols used: Q12728 / qualifier
 
xml-id: C35.S1.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12736 / rank
 
Normal rank
Property / Symbols used: Q12736 / qualifier
 
Defining formula:

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

c
Property / Symbols used: Q12736 / qualifier
 
xml-id: C35.S1.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: Q12729 / rank
 
Normal rank
Property / Symbols used: Q12729 / qualifier
 
Defining formula:

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

k
Property / Symbols used: Q12729 / qualifier
 
xml-id: C35.S1.XMD5.m1adec

Latest revision as of 14:57, 2 January 2020

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English
DLMF:35.7.E3
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperFmat{2}{1}@@{a,b}{c}{\begin{bmatrix}t_{1}&0\\ 0&t_{2}\end{bmatrix}}=\sum_{k=0}^{\infty}\frac{\Pochhammersym{a}{k}\Pochhammersym{c-a}{k}\Pochhammersym{b}{k}\Pochhammersym{c-b}{k}}{k!\,\Pochhammersym{c}{2k}\Pochhammersym{c-\tfrac{1}{2}}{k}}\*(t_{1}t_{2})^{k}\genhyperFmat{2}{1}@@{a+k,b+k}{c+2k}{t_{1}+t_{2}-t_{1}t_{2}}.}
    0 references
    DLMF id
    DLMF:35.7.E3
    0 references
    Symbols used
    generalized hypergeometric function of matrix argument
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperFmat{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{\mathbf{T}}}}
    xml-id
    C35.S8.E1.m2abdec
    0 references
    Q10759
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Pochhammersym{\NVar{a}}{\NVar{n}}}
    xml-id
    C5.S2.SS3.m1adec
    0 references
    Q10755
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    Q12726
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C35.S1.XMD1.m1adec
    0 references
    Q12737
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t_{j}}
    xml-id
    C35.S1.XMD14.m1dec
    0 references
    Q12728
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
    xml-id
    C35.S1.XMD2.m1adec
    0 references
    Q12736
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c}
    xml-id
    C35.S1.XMD3.m1adec
    0 references
    Q12729
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    xml-id
    C35.S1.XMD5.m1adec
    0 references
     
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