DLMF:33.9.E2 (Q9552): Difference between revisions

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Property / constraint
 

k = 1 , 2 , … 𝑘 1 2 … {\displaystyle{\displaystyle k=1,2,\dots}}

k=1,2,\dots
Property / constraint: k = 1 , 2 , … 𝑘 1 2 … {\displaystyle{\displaystyle k=1,2,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q12669 / rank
 
Normal rank
Property / Symbols used: Q12669 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q12669 / qualifier
 
xml-id: C33.S1.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: Q12666 / rank
 
Normal rank
Property / Symbols used: Q12666 / qualifier
 
Defining formula:

ℓ ℓ {\displaystyle{\displaystyle\ell}}

\ell
Property / Symbols used: Q12666 / qualifier
 
xml-id: C33.S1.XMD2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12668 / rank
 
Normal rank
Property / Symbols used: Q12668 / qualifier
 
Defining formula:

η 𝜂 {\displaystyle{\displaystyle\eta}}

\eta
Property / Symbols used: Q12668 / qualifier
 
xml-id: C33.S1.XMD7.m1adec
Property / Symbols used
 
Property / Symbols used: Q12680 / rank
 
Normal rank
Property / Symbols used: Q12680 / qualifier
 
Defining formula:

a k subscript 𝑎 𝑘 {\displaystyle{\displaystyle a_{k}}}

a_{k}
Property / Symbols used: Q12680 / qualifier
 
xml-id: C33.S9.XMD1.m1adec

Latest revision as of 14:26, 2 January 2020

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DLMF:33.9.E2
No description defined

    Statements

    Defining formula
    k ⁢ ( k + 2 ⁢ ℓ + 1 ) 2 ⁢ k + 2 ⁢ ℓ + 1 ⁢ a k - 2 ⁢ η ⁢ a k - 1 + ( k - 2 ) ⁢ ( k + 2 ⁢ ℓ - 1 ) 2 ⁢ k + 2 ⁢ ℓ - 3 ⁢ a k - 2 = 0 , 𝑘 𝑘 2 ℓ 1 2 𝑘 2 ℓ 1 subscript 𝑎 𝑘 2 𝜂 subscript 𝑎 𝑘 1 𝑘 2 𝑘 2 ℓ 1 2 𝑘 2 ℓ 3 subscript 𝑎 𝑘 2 0 {\displaystyle{\displaystyle\frac{k(k+2\ell+1)}{2k+2\ell+1}a_{k}-2\eta a_{k-1}% +\frac{(k-2)(k+2\ell-1)}{2k+2\ell-3}a_{k-2}=0,}}
    0 references
    DLMF id
    DLMF:33.9.E2
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    k = 1 , 2 , … 𝑘 1 2 … {\displaystyle{\displaystyle k=1,2,\dots}}
    0 references
    Symbols used
    Q12669
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C33.S1.XMD1.m1adec
    0 references
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1adec
    0 references
    Q12668
    Defining formula
    η 𝜂 {\displaystyle{\displaystyle\eta}}
    xml-id
    C33.S1.XMD7.m1adec
    0 references
    Q12680
    Defining formula
    a k subscript 𝑎 𝑘 {\displaystyle{\displaystyle a_{k}}}
    xml-id
    C33.S9.XMD1.m1adec
    0 references
     
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