DLMF:29.3.E8 (Q8595): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12351 / rank
 
Normal rank
Property / Symbols used: Q12351 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q12351 / qualifier
 
xml-id: C29.S1.XMD9.m1hdec

Latest revision as of 15:44, 2 January 2020

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DLMF:29.3.E8
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    Statements

    Defining formula
    b ν m ⁡ ( k 2 ) + b ν ν - m + 1 ⁡ ( 1 - k 2 ) = ν ⁢ ( ν + 1 ) , Lame-eigenvalue-b 𝑚 𝜈 superscript 𝑘 2 Lame-eigenvalue-b 𝜈 𝑚 1 𝜈 1 superscript 𝑘 2 𝜈 𝜈 1 {\displaystyle{\displaystyle{b^{m}_{\nu}\left(k^{2}\right)+b^{\nu-m+1}_{\nu}% \left(1-k^{2}\right)=\nu(\nu+1)},}}
    0 references
    DLMF id
    DLMF:29.3.E8
    0 references
    constraint
    m = 1 , 2 , … , ν 𝑚 1 2 … 𝜈 {\displaystyle{\displaystyle m=1,2,\dots,\nu}}
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    Symbols used
    Q12358
    Defining formula
    b ν n ⁡ ( k 2 ) Lame-eigenvalue-b 𝑛 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle b^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right% )}}
    xml-id
    C29.S3.SS1.p1.m12afdec
    0 references
    Q12357
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C29.S1.XMD1.m1hdec
    0 references
    Q12350
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C29.S1.XMD8.m1hdec
    0 references
    Q12351
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C29.S1.XMD9.m1hdec
    0 references
     
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