DLMF:30.11.E4 (Q8898): 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: Q12409 / rank
 
Normal rank
Property / Symbols used: Q12409 / qualifier
 
Defining formula:

n m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}

n\geq m
Property / Symbols used: Q12409 / qualifier
 
xml-id: C30.S1.XMD5.m1adec
Property / Symbols used
 
Property / Symbols used: Q12404 / rank
 
Normal rank
Property / Symbols used: Q12404 / qualifier
 
Defining formula:

γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}

\gamma^{2}
Property / Symbols used: Q12404 / qualifier
 
xml-id: C30.S2.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: coefficients (locally) / rank
 
Normal rank
Property / Symbols used: coefficients (locally) / qualifier
 
Defining formula:

a n , k m ( γ 2 ) subscript superscript 𝑎 𝑚 𝑛 𝑘 superscript 𝛾 2 {\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}

a^{m}_{n,k}(\gamma^{2})
Property / Symbols used: coefficients (locally) / qualifier
 
xml-id: C30.S8.XMD2.m1adec

Latest revision as of 01:48, 2 January 2020

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DLMF:30.11.E4
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    Statements

    A n ± m ( γ 2 ) = 2 k m - n ( - 1 ) k a n , k ± m ( γ 2 ) ( 0 ) . superscript subscript 𝐴 𝑛 plus-or-minus 𝑚 superscript 𝛾 2 annotated subscript 2 𝑘 minus-or-plus 𝑚 𝑛 superscript 1 𝑘 subscript superscript 𝑎 plus-or-minus 𝑚 𝑛 𝑘 superscript 𝛾 2 absent 0 {\displaystyle{\displaystyle A_{n}^{\pm m}(\gamma^{2})=\sum_{2k\geq\mp m-n}(-1% )^{k}a^{\pm m}_{n,k}(\gamma^{2})\quad(\neq 0).}}
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    DLMF:30.11.E4
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    Warning: Falling back to standard tex;
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C30.S1.XMD4.m1adec
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    n m 𝑛 𝑚 {\displaystyle{\displaystyle n\geq m}}
    C30.S1.XMD5.m1adec
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    γ 2 superscript 𝛾 2 {\displaystyle{\displaystyle\gamma^{2}}}
    C30.S2.XMD3.m1adec
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    a n , k m ( γ 2 ) subscript superscript 𝑎 𝑚 𝑛 𝑘 superscript 𝛾 2 {\displaystyle{\displaystyle a^{m}_{n,k}(\gamma^{2})}}
    C30.S8.XMD2.m1adec
    0 references