DLMF:17.14.E3 (Q5472): 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: Q11710 / rank
 
Normal rank
Property / Symbols used: Q11710 / qualifier
 
Defining formula:

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

q
Property / Symbols used: Q11710 / qualifier
 
xml-id: C17.S1.XMD10.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11711 / rank
 
Normal rank
Property / Symbols used: Q11711 / qualifier
 
Defining formula:

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

n
Property / Symbols used: Q11711 / qualifier
 
xml-id: C17.S1.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11718 / rank
 
Normal rank
Property / Symbols used: Q11718 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q11718 / qualifier
 
xml-id: C17.S1.XMD7.m1adec
Property / Symbols used
 
Property / Symbols used: Q11725 / rank
 
Normal rank
Property / Symbols used: Q11725 / qualifier
 
Defining formula:

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

G(q)
Property / Symbols used: Q11725 / qualifier
 
xml-id: C17.S14.XMD1.m1dec

Latest revision as of 15:11, 2 January 2020

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DLMF:17.14.E3
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sum_{n=0}^{\infty}\frac{q^{n(n+1)}}{\qPochhammer{q^{2}}{q^{2}}{n}\qPochhammer{-q}{q^{2}}{n+1}}=\mbox{ coeff. of }z^{0}\mbox{ in }\frac{\qPochhammer{-zq}{q^{2}}{\infty}\qPochhammer{-z^{-1}q}{q^{2}}{\infty}\qPochhammer{q^{2}}{q^{2}}{\infty}}{\qPochhammer{z^{-1}}{q^{2}}{\infty}\qPochhammer{-q}{q^{2}}{\infty}\qPochhammer{z^{-1}q}{q^{2}}{\infty}}=\frac{1}{\qPochhammer{-q}{q^{2}}{\infty}}\mbox{ coeff. of }z^{0}\mbox{ in }\frac{\qPochhammer{-zq}{q^{2}}{\infty}\qPochhammer{-z^{-1}q}{q^{2}}{\infty}\qPochhammer{q^{2}}{q^{2}}{\infty}}{\qPochhammer{z^{-1}}{q}{\infty}}=\frac{G(q)}{\qPochhammer{-q}{q^{2}}{\infty}},}
    0 references
    DLMF:17.14.E3
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}
    C17.S2.SS1.p1.m2abdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
    C17.S1.XMD10.m1bdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    C17.S1.XMD4.m1bdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    C17.S1.XMD7.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle G(q)}
    C17.S14.XMD1.m1dec
    0 references