DLMF:28.23.E12 (Q8396): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

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

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1jdec
Property / Symbols used
 
Property / Symbols used: Q12304 / rank
 
Normal rank
Property / Symbols used: Q12304 / qualifier
 
Defining formula:

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

\mathcal{C}_{\mu}^{(j)}
Property / Symbols used: Q12304 / qualifier
 
xml-id: C28.S23.XMD1.m1kdec
Property / Symbols used
 
Property / Symbols used: Q12288 / rank
 
Normal rank
Property / Symbols used: Q12288 / qualifier
 
Defining formula:

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

B_{m}(q)
Property / Symbols used: Q12288 / qualifier
 
xml-id: C28.S4.XMD2.m1bdec

Latest revision as of 15:10, 2 January 2020

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DLMF:28.23.E12
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMs{j}{2m+2}@{z}{h}=(-1)^{m}\left(\Mathieuse{2m+2}'@{0}{h^{2}}\right)^{-1}\tanh@@{z}\sum_{\ell=0}^{\infty}(-1)^{\ell}(2\ell+2)B_{2\ell+2}^{2m+2}(h^{2}){\cal C}_{2\ell+2}^{(j)}(2h\cosh@@{z}),}
    0 references
    DLMF:28.23.E12
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Mathieuse{\NVar{n}}@{\NVar{z}}{\NVar{q}}}
    C28.S2.SS6.p1.m8abdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}
    C4.S28.E2.m2aedec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}
    C4.S28.E4.m2abdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMs{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}
    C28.S20.E16.m2abdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
    C28.S1.XMD1.m1fdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
    C28.S1.XMD11.m1jdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
    C28.S1.XMD3.m1kdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
    C28.S1.XMD6.m1jdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{C}_{\mu}^{(j)}}
    C28.S23.XMD1.m1kdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{m}(q)}
    C28.S4.XMD2.m1bdec
    0 references