DLMF:29.3.E9 (Q8596): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: DLMF:29.3.E9 / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q12356 / rank
 
Normal rank
Property / Symbols used: Q12356 / qualifier
 
Defining formula:

a ν n ( k 2 ) Lame-eigenvalue-a 𝑛 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle a^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right% )}}

\Lameeigvala{\NVar{n}}{\NVar{\nu}}@{\NVar{k^{2}}}
Property / Symbols used: Q12356 / qualifier
 
xml-id: C29.S3.SS1.p1.m11agdec
Property / Symbols used
 
Property / Symbols used: Q12357 / rank
 
Normal rank
Property / Symbols used: Q12357 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12357 / qualifier
 
xml-id: C29.S1.XMD1.m1idec
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.m1idec
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.m1idec

Latest revision as of 15:44, 2 January 2020

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DLMF:29.3.E9
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    Statements

    H = 2 a ν 2 m ( k 2 ) - ν ( ν + 1 ) k 2 𝐻 2 Lame-eigenvalue-a 2 𝑚 𝜈 superscript 𝑘 2 𝜈 𝜈 1 superscript 𝑘 2 {\displaystyle{\displaystyle H=2a^{2m}_{\nu}\left(k^{2}\right)-\nu(\nu+1)k^{2}}}
    0 references
    DLMF:29.3.E9
    0 references
    a ν n ( k 2 ) Lame-eigenvalue-a 𝑛 𝜈 superscript 𝑘 2 {\displaystyle{\displaystyle a^{\NVar{n}}_{\NVar{\nu}}\left(\NVar{k^{2}}\right% )}}
    C29.S3.SS1.p1.m11agdec
    0 references
    m 𝑚 {\displaystyle{\displaystyle m}}
    C29.S1.XMD1.m1idec
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C29.S1.XMD8.m1idec
    0 references
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C29.S1.XMD9.m1idec
    0 references