DLMF:17.10.E5 (Q5451): Difference between revisions

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‎Created a new Item: Wikidata Toolkit example test item creation
 
‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q11721 / rank
 
Normal rank
Property / Symbols used: Q11721 / qualifier
 
Defining formula:

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

\idem@{\NVar{\chi_{1}}}{\NVar{\chi_{2},\dots,\chi_{n}}}
Property / Symbols used: Q11721 / qualifier
 
xml-id: C17.S1.p3.m2adec
Property / Symbols used
 
Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / rank
 
Normal rank
Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}}

\qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}
Property / Symbols used: basic hypergeometric (or $$q$$ -hypergeometric) function / qualifier
 
xml-id: C17.S4.E1.m2adec
Property / Symbols used
 
Property / Symbols used: bilateral basic hypergeometric (or bilateral $$q$$ -hypergeometric) function / rank
 
Normal rank
Property / Symbols used: bilateral basic hypergeometric (or bilateral $$q$$ -hypergeometric) function / qualifier
 
Defining formula:

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

\qgenhyperpsi{\NVar{r}}{\NVar{s}}@{\NVar{a_{1},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}
Property / Symbols used: bilateral basic hypergeometric (or bilateral $$q$$ -hypergeometric) function / qualifier
 
xml-id: C17.S4.E3.m2addec
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.m6addec
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.m1ddec

Latest revision as of 15:08, 2 January 2020

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DLMF:17.10.E5
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    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\qmultiPochhammersym{aq/b,aq/c,aq/d,aq/e,q/(ab),q/(ac),q/(ad),q/(ae)}{q}{\infty}}{\qmultiPochhammersym{fa,ga,f/a,g/a,qa^{2},q/a^{2}}{q}{\infty}}\*\qgenhyperpsi{8}{8}@@{qa,-qa,ba,ca,da,ea,fa,ga}{a,-a,aq/b,aq/c,aq/d,aq/e,aq/f,aq/g}{q}{\frac{q^{2}}{bcdefg}}=\frac{\qmultiPochhammersym{q,q/(bf),q/(cf),q/(df),q/(ef),qf/b,qf/c,qf/d,qf/e}{q}{\infty}}{\qmultiPochhammersym{fa,q/(fa),aq/f,f/a,g/f,fg,qf^{2}}{q}{\infty}}\*\qgenhyperphi{8}{7}@@{f^{2},qf,-qf,fb,fc,fd,fe,fg}{f,-f,fq/b,fq/c,fq/d,fq/e,fq/g}{q}{\frac{q^{2}}{bcdefg}}+\idem@{f}{g}.}
    0 references
    DLMF id
    DLMF:17.10.E5
    0 references
    Symbols used
    Q11721
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \idem@{\NVar{\chi_{1}}}{\NVar{\chi_{2},\dots,\chi_{n}}}}
    xml-id
    C17.S1.p3.m2adec
    0 references
    basic hypergeometric (or $$q$$ -hypergeometric) function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}}
    xml-id
    C17.S4.E1.m2adec
    0 references
    bilateral basic hypergeometric (or bilateral $$q$$ -hypergeometric) function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qgenhyperpsi{\NVar{r}}{\NVar{s}}@{\NVar{a_{1},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}}
    xml-id
    C17.S4.E3.m2addec
    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.m6addec
    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.m1ddec
    0 references
     
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