DLMF:31.15.E8 (Q9127): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(6 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10784 / rank
 
Normal rank
Property / Symbols used: Q10784 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\in}}

\in
Property / Symbols used: Q10784 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r10.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10777 / rank
 
Normal rank
Property / Symbols used: Q10777 / qualifier
 
Defining formula:

( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}

(\NVar{a},\NVar{b})
Property / Symbols used: Q10777 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r29.m6adec
Property / Symbols used
 
Property / Symbols used: Q12457 / rank
 
Normal rank
Property / Symbols used: Q12457 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q12457 / qualifier
 
xml-id: C31.S1.XMD1.m1ddec
Property / Symbols used
 
Property / Symbols used: Q12477 / rank
 
Normal rank
Property / Symbols used: Q12477 / qualifier
 
Defining formula:

j 𝑗 {\displaystyle{\displaystyle j}}

j
Property / Symbols used: Q12477 / qualifier
 
xml-id: C31.S1.XMD2.m1gdec
Property / Symbols used
 
Property / Symbols used: Q12461 / rank
 
Normal rank
Property / Symbols used: Q12461 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12461 / qualifier
 
xml-id: C31.S1.XMD6.m1gdec
Property / Symbols used
 
Property / Symbols used: Q12512 / rank
 
Normal rank
Property / Symbols used: Q12512 / qualifier
 
Defining formula:

N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}}

N+1
Property / Symbols used: Q12512 / qualifier
 
xml-id: C31.S14.XMD1.m1gdec
Property / Symbols used
 
Property / Symbols used: Q12515 / rank
 
Normal rank
Property / Symbols used: Q12515 / qualifier
 
Defining formula:

S 𝐦 ( z ) subscript 𝑆 𝐦 𝑧 {\displaystyle{\displaystyle S_{\mathbf{m}}(z)}}

S_{\mathbf{m}}(z)
Property / Symbols used: Q12515 / qualifier
 
xml-id: C31.S15.XMD5.m1dec

Latest revision as of 13:44, 2 January 2020

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DLMF:31.15.E8
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    Statements

    S 𝐦 ( z 1 ) S 𝐦 ( z 2 ) S 𝐦 ( z N - 1 ) , subscript 𝑆 𝐦 subscript 𝑧 1 subscript 𝑆 𝐦 subscript 𝑧 2 subscript 𝑆 𝐦 subscript 𝑧 𝑁 1 {\displaystyle{\displaystyle S_{\mathbf{m}}(z_{1})S_{\mathbf{m}}(z_{2})\cdots S% _{\mathbf{m}}(z_{N-1}),}}
    0 references
    DLMF:31.15.E8
    0 references
    Warning: Falling back to standard tex;
    0 references
    z j ( a j , a j + 1 ) subscript 𝑧 𝑗 subscript 𝑎 𝑗 subscript 𝑎 𝑗 1 {\displaystyle{\displaystyle z_{j}\in(a_{j},a_{j+1})}}
    0 references
    {\displaystyle{\displaystyle\in}}
    introduction.Sx4.p1.t1.r10.m2aadec
    0 references
    ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}}
    introduction.Sx4.p1.t1.r29.m6adec
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    z 𝑧 {\displaystyle{\displaystyle z}}
    C31.S1.XMD1.m1ddec
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    j 𝑗 {\displaystyle{\displaystyle j}}
    C31.S1.XMD2.m1gdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C31.S1.XMD6.m1gdec
    0 references
    N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}}
    C31.S14.XMD1.m1gdec
    0 references
    S 𝐦 ( z ) subscript 𝑆 𝐦 𝑧 {\displaystyle{\displaystyle S_{\mathbf{m}}(z)}}
    C31.S15.XMD5.m1dec
    0 references