DLMF:3.9.E9 (Q1394): Difference between revisions

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Property / constraint
 

n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}

n=0,1,2,\dots
Property / constraint: n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q11197 / rank
 
Normal rank
Property / Symbols used: Q11197 / qualifier
 
test:

s n subscript 𝑠 𝑛 {\displaystyle{\displaystyle s_{n}}}

s_{n}
Property / Symbols used: Q11197 / qualifier
 
xml-id: C3.S9.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11198 / rank
 
Normal rank
Property / Symbols used: Q11198 / qualifier
 
test:

t n subscript 𝑡 𝑛 {\displaystyle{\displaystyle t_{n}}}

t_{n}
Property / Symbols used: Q11198 / qualifier
 
xml-id: C3.S9.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Hankel determinant (locally) / rank
 
Normal rank
Property / Symbols used: Hankel determinant (locally) / qualifier
 
test:

H m ( u ) subscript 𝐻 𝑚 𝑢 {\displaystyle{\displaystyle H_{m}(u)}}

H_{m}(u)
Property / Symbols used: Hankel determinant (locally) / qualifier
 
xml-id: C3.S9.XMD5.m1dec

Latest revision as of 16:57, 1 January 2020

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DLMF:3.9.E9
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    Statements

    t n , 2 k = H k + 1 ( s n ) H k ( Δ 2 s n ) , subscript 𝑡 𝑛 2 𝑘 subscript 𝐻 𝑘 1 subscript 𝑠 𝑛 subscript 𝐻 𝑘 superscript Δ 2 subscript 𝑠 𝑛 {\displaystyle{\displaystyle t_{n,2k}=\frac{H_{k+1}(s_{n})}{H_{k}(\Delta^{2}s_% {n})},}}
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    Warning: Falling back to standard tex;
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    n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}
    0 references
    s n subscript 𝑠 𝑛 {\displaystyle{\displaystyle s_{n}}}
    C3.S9.XMD1.m1cdec
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    t n subscript 𝑡 𝑛 {\displaystyle{\displaystyle t_{n}}}
    C3.S9.XMD2.m1bdec
    0 references
    H m ( u ) subscript 𝐻 𝑚 𝑢 {\displaystyle{\displaystyle H_{m}(u)}}
    C3.S9.XMD5.m1dec
    0 references