DLMF:17.4.E3 (Q5352): Difference between revisions

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‎Changed an Item: Wikidata Toolkit example test statement addition
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Property / Symbols used
 
Property / Symbols used: Q10754 / rank
 
Normal rank
Property / Symbols used: Q10754 / qualifier
 
Defining formula:

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

\binom{\NVar{m}}{\NVar{n}}
Property / Symbols used: Q10754 / qualifier
 
xml-id: C1.S2.SS1.m1aadec
Property / Symbols used
 
Property / Symbols used: Q11713 / rank
 
Normal rank
Property / Symbols used: Q11713 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}}

\qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}
Property / Symbols used: Q11713 / qualifier
 
xml-id: C17.S2.SS1.p1.m6adec
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.m1adec
Property / Symbols used
 
Property / Symbols used: Q11714 / rank
 
Normal rank
Property / Symbols used: Q11714 / qualifier
 
Defining formula:

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

r
Property / Symbols used: Q11714 / qualifier
 
xml-id: C17.S1.XMD5.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11717 / rank
 
Normal rank
Property / Symbols used: Q11717 / qualifier
 
Defining formula:

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

s
Property / Symbols used: Q11717 / qualifier
 
xml-id: C17.S1.XMD6.m1adec
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.m1bdec

Latest revision as of 13:55, 2 January 2020

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English
DLMF:17.4.E3
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperpsi{r}{s}@@{a_{1},a_{2},\dots,a_{r}}{b_{1},b_{2},\dots,b_{s}}{q}{z}=\qgenhyperpsi{r}{s}@{a_{1},a_{2},\dots,a_{r}}{b_{1},b_{2},\dots,b_{s}}{q}{z}=\sum_{n=-\infty}^{\infty}\frac{\qmultiPochhammersym{a_{1},a_{2},\dots,a_{r}}{q}{n}(-1)^{(s-r)n}q^{(s-r)\binom{n}{2}}z^{n}}{\qmultiPochhammersym{b_{1},b_{2},\dots,b_{s}}{q}{n}}=\sum_{n=0}^{\infty}\frac{\qmultiPochhammersym{a_{1},a_{2},\dots,a_{r}}{q}{n}(-1)^{(s-r)n}q^{(s-r)\binom{n}{2}}z^{n}}{\qmultiPochhammersym{b_{1},b_{2},\dots,b_{s}}{q}{n}}+\sum_{n=1}^{\infty}\frac{\qmultiPochhammersym{q/b_{1},q/b_{2},\dots,q/b_{s}}{q}{n}}{\qmultiPochhammersym{q/a_{1},q/a_{2},\dots,q/a_{r}}{q}{n}}\left(\frac{b_{1}b_{2}\cdots b_{s}}{a_{1}a_{2}\cdots a_{r}z}\right)^{n}.}
    0 references
    DLMF id
    DLMF:17.4.E3
    0 references
    Symbols used
    Q10754
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \binom{\NVar{m}}{\NVar{n}}}
    xml-id
    C1.S2.SS1.m1aadec
    0 references
    Q11713
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}}
    xml-id
    C17.S2.SS1.p1.m6adec
    0 references
    Q11710
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
    xml-id
    C17.S1.XMD10.m1bdec
    0 references
    Q11711
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C17.S1.XMD4.m1adec
    0 references
    Q11714
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle r}
    xml-id
    C17.S1.XMD5.m1bdec
    0 references
    Q11717
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}
    xml-id
    C17.S1.XMD6.m1adec
    0 references
    Q11718
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C17.S1.XMD7.m1bdec
    0 references
     
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