DLMF:31.16.E1 (Q9132): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12477 / rank
 
Normal rank
Property / Symbols used: Q12477 / qualifier
 
test:

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

j
Property / Symbols used: Q12477 / qualifier
 
xml-id: C31.S1.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12483 / rank
 
Normal rank
Property / Symbols used: Q12483 / qualifier
 
test:

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

m
Property / Symbols used: Q12483 / qualifier
 
xml-id: C31.S1.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q12484 / rank
 
Normal rank
Property / Symbols used: Q12484 / qualifier
 
test:

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

n
Property / Symbols used: Q12484 / qualifier
 
xml-id: C31.S1.XMD5.m1dec
Property / Symbols used
 
Property / Symbols used: Q12461 / rank
 
Normal rank
Property / Symbols used: Q12461 / qualifier
 
test:

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

a
Property / Symbols used: Q12461 / qualifier
 
xml-id: C31.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q12462 / rank
 
Normal rank
Property / Symbols used: Q12462 / qualifier
 
test:

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

q
Property / Symbols used: Q12462 / qualifier
 
xml-id: C31.S1.XMD7.m1dec
Property / Symbols used
 
Property / Symbols used: Q12464 / rank
 
Normal rank
Property / Symbols used: Q12464 / qualifier
 
test:

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

\beta
Property / Symbols used: Q12464 / qualifier
 
xml-id: C31.S1.XMD9.m1dec
Property / Symbols used
 
Property / Symbols used: Q12516 / rank
 
Normal rank
Property / Symbols used: Q12516 / qualifier
 
test:

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

\theta
Property / Symbols used: Q12516 / qualifier
 
xml-id: C31.S16.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q12517 / rank
 
Normal rank
Property / Symbols used: Q12517 / qualifier
 
test:

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

\phi
Property / Symbols used: Q12517 / qualifier
 
xml-id: C31.S16.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12518 / rank
 
Normal rank
Property / Symbols used: Q12518 / qualifier
 
test:

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

x
Property / Symbols used: Q12518 / qualifier
 
xml-id: C31.S16.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12519 / rank
 
Normal rank
Property / Symbols used: Q12519 / qualifier
 
test:

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

y
Property / Symbols used: Q12519 / qualifier
 
xml-id: C31.S16.XMD4.m1dec
Property / Symbols used
 
Property / Symbols used: Q12520 / rank
 
Normal rank
Property / Symbols used: Q12520 / qualifier
 
test:

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

A_{j}
Property / Symbols used: Q12520 / qualifier
 
xml-id: C31.S16.XMD5.m1dec

Latest revision as of 13:46, 2 January 2020

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DLMF:31.16.E1
No description defined

    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HeunpolyHp{n}{m}@@{a}{q_{n,m}}{-n}{\beta}{\gamma}{\delta}{x}\HeunpolyHp{n}{m}@@{a}{q_{n,m}}{-n}{\beta}{\gamma}{\delta}{y}=\sum_{j=0}^{n}A_{j}\sin^{2j}@@{\theta}\*\JacobipolyP{\gamma+\delta+2j-1}{\epsilon-1}{n-j}@{\cos@{2\theta}}\JacobipolyP{\delta-1}{\gamma-1}{j}@{\cos@{2\phi}},}
    0 references
    DLMF id
    DLMF:31.16.E1
    0 references
    Symbols used
    Heun polynomials
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HeunpolyHp{\NVar{n}}{\NVar{m}}@{\NVar{a}}{\NVar{q_{n,m}}}{\NVar{-n}}{\NVar{\beta}}{\NVar{\gamma}}{\NVar{\delta}}{\NVar{z}}}
    xml-id
    C31.S5.E2.m2adec
    0 references
    Q11660
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}}}
    xml-id
    C18.S3.T1.t1.r2.m2adec
    0 references
    cosine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    xml-id
    C4.S14.E2.m2adec
    0 references
    sine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    xml-id
    C4.S14.E1.m2adec
    0 references
    Q12458
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma}
    xml-id
    C31.S1.XMD10.m1dec
    0 references
    Q12459
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta}
    xml-id
    C31.S1.XMD11.m1dec
    0 references
    Q12460
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \epsilon}
    xml-id
    C31.S1.XMD12.m1dec
    0 references
    Q12477
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
    xml-id
    C31.S1.XMD2.m1dec
    0 references
    Q12483
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C31.S1.XMD4.m1dec
    0 references
    Q12484
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C31.S1.XMD5.m1dec
    0 references
    Q12461
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
    xml-id
    C31.S1.XMD6.m1dec
    0 references
    Q12462
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
    xml-id
    C31.S1.XMD7.m1dec
    0 references
    Q12464
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \beta}
    xml-id
    C31.S1.XMD9.m1dec
    0 references
    Q12516
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta}
    xml-id
    C31.S16.XMD1.m1dec
    0 references
    Q12517
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi}
    xml-id
    C31.S16.XMD2.m1dec
    0 references
    Q12518
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
    xml-id
    C31.S16.XMD3.m1dec
    0 references
    Q12519
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle y}
    xml-id
    C31.S16.XMD4.m1dec
    0 references
    Q12520
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{j}}
    xml-id
    C31.S16.XMD5.m1dec
    0 references
     
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