DLMF:28.2.E13 (Q8156): 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: Q12271 / rank
 
Normal rank
Property / Symbols used: Q12271 / qualifier
 
Defining formula:

q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}

q=h^{2}
Property / Symbols used: Q12271 / qualifier
 
xml-id: C28.S1.XMD10.m1kdec
Property / Symbols used
 
Property / Symbols used: Q12273 / rank
 
Normal rank
Property / Symbols used: Q12273 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12273 / qualifier
 
xml-id: C28.S1.XMD9.m1jdec
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.m1jdec
Property / Symbols used
 
Property / Symbols used: Q12277 / rank
 
Normal rank
Property / Symbols used: Q12277 / qualifier
 
Defining formula:

w II ( z ; a , q ) subscript 𝑤 II 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}}

w_{\mbox{\tiny II}}(z;a,q)
Property / Symbols used: Q12277 / qualifier
 
xml-id: C28.S2.XMD4.m1edec

Latest revision as of 14:34, 2 January 2020

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DLMF:28.2.E13
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    Statements

    w II ( π ; a , q ) = 2 w II ( 1 2 π ; a , q ) w II ( 1 2 π ; a , q ) . subscript 𝑤 II 𝜋 𝑎 𝑞 2 subscript 𝑤 II 1 2 𝜋 𝑎 𝑞 subscript superscript 𝑤 II 1 2 𝜋 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(\pi;a,q)=2w_{\mbox{\tiny II}}% (\tfrac{1}{2}\pi;a,q)w^{\prime}_{\mbox{\tiny II}}(\tfrac{1}{2}\pi;a,q).}}
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    DLMF:28.2.E13
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    Warning: Falling back to standard tex;
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    π {\displaystyle{\displaystyle\pi}}
    C3.S12.E1.m2agdec
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    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1kdec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C28.S1.XMD9.m1jdec
    0 references
    w ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}}
    C28.S2.XMD1.m1jdec
    0 references
    w II ( z ; a , q ) subscript 𝑤 II 𝑧 𝑎 𝑞 {\displaystyle{\displaystyle w_{\mbox{\tiny II}}(z;a,q)}}
    C28.S2.XMD4.m1edec
    0 references