DLMF:26.6.E10 (Q7812): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q12171 / rank
 
Normal rank
Property / Symbols used: Q12171 / qualifier
 
test:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12171 / qualifier
 
xml-id: C26.S1.XMD5.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12172 / rank
 
Normal rank
Property / Symbols used: Q12172 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12172 / qualifier
 
xml-id: C26.S1.XMD6.m1mdec
Property / Symbols used
 
Property / Symbols used: Delannoy number (locally) / rank
 
Normal rank
Property / Symbols used: Delannoy number (locally) / qualifier
 
test:

D ( m , n ) 𝐷 𝑚 𝑛 {\displaystyle{\displaystyle D(m,n)}}

D(m,n)
Property / Symbols used: Delannoy number (locally) / qualifier
 
xml-id: C26.S6.XMD1.m1edec

Latest revision as of 00:11, 2 January 2020

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DLMF:26.6.E10
No description defined

    Statements

    D ( m , n ) = D ( m , n - 1 ) + D ( m - 1 , n ) + D ( m - 1 , n - 1 ) , 𝐷 𝑚 𝑛 𝐷 𝑚 𝑛 1 𝐷 𝑚 1 𝑛 𝐷 𝑚 1 𝑛 1 {\displaystyle{\displaystyle D(m,n)=D(m,n-1)+D(m-1,n)+D(m-1,n-1),}}
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    Warning: Falling back to standard tex;
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    m , n 1 𝑚 𝑛 1 {\displaystyle{\displaystyle m,n\geq 1}}
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    m 𝑚 {\displaystyle{\displaystyle m}}
    C26.S1.XMD5.m1cdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C26.S1.XMD6.m1mdec
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    D ( m , n ) 𝐷 𝑚 𝑛 {\displaystyle{\displaystyle D(m,n)}}
    C26.S6.XMD1.m1edec
    0 references