DLMF:17.2.E42 (Q5332): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11710 / rank
 
Normal rank
Property / Symbols used: Q11710 / qualifier
 
test:

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.m1andec
Property / Symbols used
 
Property / Symbols used: Q11712 / rank
 
Normal rank
Property / Symbols used: Q11712 / qualifier
 
test:

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

j
Property / Symbols used: Q11712 / qualifier
 
xml-id: C17.S1.XMD2.m1idec
Property / Symbols used
 
Property / Symbols used: Q11711 / rank
 
Normal rank
Property / Symbols used: Q11711 / qualifier
 
test:

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.m1akdec
Property / Symbols used
 
Property / Symbols used: Q11718 / rank
 
Normal rank
Property / Symbols used: Q11718 / qualifier
 
test:

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.m1edec
Property / Symbols used
 
Property / Symbols used: $$q$$ -differential operator (locally) / rank
 
Normal rank
Property / Symbols used: $$q$$ -differential operator (locally) / qualifier
 
test:

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

\mathcal{D}_{q}
Property / Symbols used: $$q$$ -differential operator (locally) / qualifier
 
xml-id: C17.S2.XMD1.m1adec

Latest revision as of 13:51, 2 January 2020

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DLMF:17.2.E42
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle f^{[n]}(z)=\mathcal{D}_{q}^{n}f(z)=\begin{cases}z^{-n}(1-q)^{-n}\sum_{j=0}^{n}q^{-nj+\binom{j+1}{2}}(-1)^{j}\qbinom{n}{j}{q}f(zq^{j}),&z\neq 0,\\ \dfrac{f^{(n)}(0)\qPochhammer{q}{q}{n}}{n!(1-q)^{n}},&z=0.\end{cases}}
    0 references
    DLMF id
    DLMF:17.2.E42
    0 references
    Symbols used
    Q10754
    test
    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.m1amdec
    0 references
    Q10755
    test
    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
    Q11298
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}}
    xml-id
    C17.S2.SS1.p1.m2aaidec
    0 references
    $$q$$ -binomial coefficient (or Gaussian polynomial)
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \qbinom{\NVar{n}}{\NVar{m}}{\NVar{q}}}
    xml-id
    C17.S2.E27.m2aldec
    0 references
    Q11710
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
    xml-id
    C17.S1.XMD10.m1andec
    0 references
    Q11712
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
    xml-id
    C17.S1.XMD2.m1idec
    0 references
    Q11711
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C17.S1.XMD4.m1akdec
    0 references
    Q11718
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C17.S1.XMD7.m1edec
    0 references
    $$q$$ -differential operator (locally)
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{D}_{q}}
    xml-id
    C17.S2.XMD1.m1adec
    0 references
     
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