DLMF:10.21.E55 (Q3371): Difference between revisions

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Property / constraint
 

n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}}

n=1,2,3,\dots
Property / constraint: n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q11438 / rank
 
Normal rank
Property / Symbols used: Q11438 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q11438 / qualifier
 
xml-id: C10.S1.XMD1.m1wdec
Property / Symbols used
 
Property / Symbols used: Q11429 / rank
 
Normal rank
Property / Symbols used: Q11429 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11429 / qualifier
 
xml-id: C10.S1.XMD2.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11427 / rank
 
Normal rank
Property / Symbols used: Q11427 / qualifier
 
test:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11427 / qualifier
 
xml-id: C10.S1.XMD7.m1andec

Latest revision as of 14:48, 2 January 2020

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DLMF:10.21.E55
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    Statements

    σ n ( ν ) = m = 1 ( j ν , m ) - 2 n , Rayleigh-function 𝑛 𝜈 superscript subscript 𝑚 1 superscript subscript 𝑗 𝜈 𝑚 2 𝑛 {\displaystyle{\displaystyle\sigma_{n}\left(\nu\right)=\sum_{m=1}^{\infty}(j_{% \nu,m})^{-2n},}}
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    n = 1 , 2 , 3 , 𝑛 1 2 3 {\displaystyle{\displaystyle n=1,2,3,\dots}}
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C10.S1.XMD1.m1wdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C10.S1.XMD2.m1fdec
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    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C10.S1.XMD7.m1andec
    0 references