DLMF:29.12.E4 (Q8725): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q12348 / rank
 
Normal rank
Property / Symbols used: Q12348 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\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:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12350 / qualifier
 
xml-id: C29.S1.XMD8.m1cdec

Latest revision as of 01:26, 2 January 2020

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DLMF:29.12.E4
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    Statements

    𝑑𝐸 2 n + 1 m ( z , k 2 ) = 𝐸𝑐 2 n + 1 2 m ( z , k 2 ) , Lame-polynomial-dE 𝑚 2 𝑛 1 𝑧 superscript 𝑘 2 Lame-Ec 2 𝑚 2 𝑛 1 𝑧 superscript 𝑘 2 {\displaystyle{\displaystyle\mathit{dE}^{m}_{2n+1}\left(z,k^{2}\right)=\mathit% {Ec}^{2m}_{2n+1}\left(z,k^{2}\right),}}
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    DLMF:29.12.E4
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    𝐸𝑐 ν m ( z , k 2 ) Lame-Ec 𝑚 𝜈 𝑧 superscript 𝑘 2 {\displaystyle{\displaystyle\mathit{Ec}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},% \NVar{k^{2}}\right)}}
    C29.S3.SS4.p1.m5abdec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C29.S1.XMD1.m1cdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C29.S1.XMD2.m1cdec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C29.S1.XMD6.m1cdec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C29.S1.XMD8.m1cdec
    0 references