DLMF:28.4.E20 (Q8214): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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Property / Symbols used
 
Property / Symbols used: Q12279 / rank
 
Normal rank
Property / Symbols used: Q12279 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12279 / qualifier
 
xml-id: C28.S1.XMD2.m1sdec
Property / Symbols used
 
Property / Symbols used: Q12287 / rank
 
Normal rank
Property / Symbols used: Q12287 / qualifier
 
Defining formula:

A m ( q ) subscript 𝐴 𝑚 𝑞 {\displaystyle{\displaystyle A_{m}(q)}}

A_{m}(q)
Property / Symbols used: Q12287 / qualifier
 
xml-id: C28.S4.XMD1.m1jdec
Property / Symbols used
 
Property / Symbols used: Q12288 / rank
 
Normal rank
Property / Symbols used: Q12288 / qualifier
 
Defining formula:

B m ( q ) subscript 𝐵 𝑚 𝑞 {\displaystyle{\displaystyle B_{m}(q)}}

B_{m}(q)
Property / Symbols used: Q12288 / qualifier
 
xml-id: C28.S4.XMD2.m1jdec

Latest revision as of 14:40, 2 January 2020

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DLMF:28.4.E20
No description defined

    Statements

    B 2 m + 1 2 n + 1 ( - q ) = ( - 1 ) n - m A 2 m + 1 2 n + 1 ( q ) . subscript superscript 𝐵 2 𝑛 1 2 𝑚 1 𝑞 superscript 1 𝑛 𝑚 subscript superscript 𝐴 2 𝑛 1 2 𝑚 1 𝑞 {\displaystyle{\displaystyle B^{2n+1}_{2m+1}(-q)=(-1)^{n-m}A^{2n+1}_{2m+1}(q).}}
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    DLMF:28.4.E20
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    Warning: Falling back to standard tex;
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C28.S1.XMD1.m1sdec
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    q = h 2 𝑞 superscript 2 {\displaystyle{\displaystyle q=h^{2}}}
    C28.S1.XMD10.m1odec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C28.S1.XMD2.m1sdec
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    A m ( q ) subscript 𝐴 𝑚 𝑞 {\displaystyle{\displaystyle A_{m}(q)}}
    C28.S4.XMD1.m1jdec
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    B m ( q ) subscript 𝐵 𝑚 𝑞 {\displaystyle{\displaystyle B_{m}(q)}}
    C28.S4.XMD2.m1jdec
    0 references