DLMF:36.12.E9 (Q10001): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12763 / rank
 
Normal rank
Property / Symbols used: Q12763 / qualifier
 
Defining formula:

𝐱 ( 𝐲 ) 𝐱 𝐲 {\displaystyle{\displaystyle\mathbf{x}(\mathbf{y})}}

\mathbf{x}(\mathbf{y})
Property / Symbols used: Q12763 / qualifier
 
xml-id: C36.S12.XMD6.m1adec

Revision as of 15:20, 2 January 2020

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DLMF:36.12.E9
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    Statements

    P m n ( 𝐲 ) = ( t n ( 𝐱 ( 𝐲 ) ) ) K + 1 + l = m + 2 K l K + 2 x l ( 𝐲 ) ( t n ( 𝐱 ( 𝐲 ) ) ) l - 1 , subscript 𝑃 𝑚 𝑛 𝐲 superscript subscript 𝑡 𝑛 𝐱 𝐲 𝐾 1 superscript subscript 𝑙 𝑚 2 𝐾 𝑙 𝐾 2 subscript 𝑥 𝑙 𝐲 superscript subscript 𝑡 𝑛 𝐱 𝐲 𝑙 1 {\displaystyle{\displaystyle P_{mn}(\mathbf{y})=(t_{n}(\mathbf{x}(\mathbf{y}))% )^{K+1}+\sum_{l=m+2}^{K}\frac{l}{K+2}x_{l}(\mathbf{y})(t_{n}(\mathbf{x}(% \mathbf{y})))^{l-1},}}
    0 references
    DLMF:36.12.E9
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    l 𝑙 {\displaystyle{\displaystyle l}}
    C36.S1.XMD1.m1adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C36.S1.XMD2.m1cdec
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C36.S1.XMD3.m1adec
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    K 𝐾 {\displaystyle{\displaystyle K}}
    C36.S1.XMD7.m1edec
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    𝐱 ( 𝐲 ) 𝐱 𝐲 {\displaystyle{\displaystyle\mathbf{x}(\mathbf{y})}}
    C36.S12.XMD6.m1adec
    0 references