DLMF:29.15.E18 (Q8763): Difference between revisions

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‎Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Lamé polynomial / rank
 
Normal rank
Property / Symbols used: Lamé polynomial / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LamepolydE{\NVar{m}}{2\NVar{n}+1}@{\NVar{z}}{\NVar{k^{2}}}}

\LamepolydE{\NVar{m}}{2\NVar{n}+1}@{\NVar{z}}{\NVar{k^{2}}}
Property / Symbols used: Lamé polynomial / qualifier
 
xml-id: C29.S12.E4.m2adec
Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
Defining formula:

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

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2abdec
Property / Symbols used
 
Property / Symbols used: Q12357 / rank
 
Normal rank
Property / Symbols used: Q12357 / qualifier
 
Defining formula:

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

m
Property / Symbols used: Q12357 / qualifier
 
xml-id: C29.S1.XMD1.m1fdec
Property / Symbols used
 
Property / Symbols used: Q12367 / rank
 
Normal rank
Property / Symbols used: Q12367 / qualifier
 
Defining formula:

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

n
Property / Symbols used: Q12367 / qualifier
 
xml-id: C29.S1.XMD2.m1ndec
Property / Symbols used
 
Property / Symbols used: Q12359 / rank
 
Normal rank
Property / Symbols used: Q12359 / qualifier
 
Defining formula:

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

p
Property / Symbols used: Q12359 / qualifier
 
xml-id: C29.S1.XMD3.m1idec
Property / Symbols used
 
Property / Symbols used: Q12348 / rank
 
Normal rank
Property / Symbols used: Q12348 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q12348 / qualifier
 
xml-id: C29.S1.XMD6.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12350 / rank
 
Normal rank
Property / Symbols used: Q12350 / qualifier
 
Defining formula:

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

k
Property / Symbols used: Q12350 / qualifier
 
xml-id: C29.S1.XMD8.m1fdec
Property / Symbols used
 
Property / Symbols used: change of variable (locally) / rank
 
Normal rank
Property / Symbols used: change of variable (locally) / qualifier
 
Defining formula:

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

\phi
Property / Symbols used: change of variable (locally) / qualifier
 
xml-id: C29.S2.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12371 / rank
 
Normal rank
Property / Symbols used: Q12371 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle C_{2p+1}}

C_{2p+1}
Property / Symbols used: Q12371 / qualifier
 
xml-id: C29.S6.XMD7.m1dec

Latest revision as of 01:32, 2 January 2020

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DLMF:29.15.E18
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LamepolydE{m}{2n+1}@{z}{k^{2}}=\Jacobielldnk@{z}{k}\left(\tfrac{1}{2}C_{0}+\sum_{p=1}^{n}C_{2p}\cos@{2p\phi}\right).}
    0 references
    DLMF id
    DLMF:29.15.E18
    0 references
    Symbols used
    Jacobian elliptic function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Jacobielldnk@{\NVar{z}}{\NVar{k}}}
    xml-id
    C22.S2.E6.m2adec
    0 references
    Lamé polynomial
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LamepolydE{\NVar{m}}{2\NVar{n}+1}@{\NVar{z}}{\NVar{k^{2}}}}
    xml-id
    C29.S12.E4.m2adec
    0 references
    cosine function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    xml-id
    C4.S14.E2.m2abdec
    0 references
    Q12357
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    xml-id
    C29.S1.XMD1.m1fdec
    0 references
    Q12367
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
    xml-id
    C29.S1.XMD2.m1ndec
    0 references
    Q12359
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle p}
    xml-id
    C29.S1.XMD3.m1idec
    0 references
    Q12348
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    xml-id
    C29.S1.XMD6.m1cdec
    0 references
    Q12350
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    xml-id
    C29.S1.XMD8.m1fdec
    0 references
    change of variable (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phi}
    xml-id
    C29.S2.XMD3.m1cdec
    0 references
    Q12371
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle C_{2p+1}}
    xml-id
    C29.S6.XMD7.m1dec
    0 references
     
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