DLMF:28.2.E11 (Q8154): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
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.m1hdec

Revision as of 14:34, 2 January 2020

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DLMF:28.2.E11
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    Statements

    w I ( π ; a , q ) + 1 = 2 w I ( 1 2 π ; a , q ) w II ( 1 2 π ; a , q ) , subscript 𝑤 I 𝜋 𝑎 𝑞 1 2 subscript 𝑤 I 1 2 𝜋 𝑎 𝑞 subscript superscript 𝑤 II 1 2 𝜋 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny I}}(\pi;a,q)+1=2w_{\mbox{\tiny I}}% (\tfrac{1}{2}\pi;a,q)w^{\prime}_{\mbox{\tiny II}}(\tfrac{1}{2}\pi;a,q),}}
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    DLMF:28.2.E11
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    Warning: Falling back to standard tex;
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2aedec
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    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1idec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C28.S1.XMD9.m1hdec
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    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C28.S2.XMD1.m1hdec
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