DLMF:28.31.E5 (Q8517): Difference between revisions

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

sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q12272 / rank
 
Normal rank
Property / Symbols used: Q12272 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12272 / qualifier
 
xml-id: C28.S1.XMD6.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12274 / rank
 
Normal rank
Property / Symbols used: Q12274 / qualifier
 
Defining formula:

w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}

w(z)
Property / Symbols used: Q12274 / qualifier
 
xml-id: C28.S2.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12329 / rank
 
Normal rank
Property / Symbols used: Q12329 / qualifier
 
Defining formula:

B 𝐵 {\displaystyle{\displaystyle B}}

B
Property / Symbols used: Q12329 / qualifier
 
xml-id: C28.S31.XMD3.m1adec

Latest revision as of 15:38, 2 January 2020

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DLMF:28.31.E5
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    Statements

    w o , s ( z ) = = 0 B 2 + s sin ( 2 + s ) z , subscript 𝑤 𝑜 𝑠 𝑧 superscript subscript 0 subscript 𝐵 2 𝑠 2 𝑠 𝑧 {\displaystyle{\displaystyle w_{\mathit{o},s}(z)=\sum_{\ell=0}^{\infty}B_{2% \ell+s}\sin(2\ell+s)z,}}
    0 references
    DLMF:28.31.E5
    0 references
    s = 1 , 2 𝑠 1 2 {\displaystyle{\displaystyle s=1,2}}
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2aadec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C28.S1.XMD6.m1ddec
    0 references
    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C28.S2.XMD1.m1cdec
    0 references
    B 𝐵 {\displaystyle{\displaystyle B}}
    C28.S31.XMD3.m1adec
    0 references