DLMF:33.19.E6 (Q9665): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(4 intermediate revisions by the same user not shown)
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.m1edec
Property / Symbols used
 
Property / Symbols used: Q12693 / rank
 
Normal rank
Property / Symbols used: Q12693 / qualifier
 
Defining formula:

ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}

\epsilon
Property / Symbols used: Q12693 / qualifier
 
xml-id: C33.S1.XMD6.m1edec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
Defining formula:

A ⁢ ( ϵ , ℓ ) 𝐴 italic-ϵ ℓ {\displaystyle{\displaystyle A(\epsilon,\ell)}}

A(\epsilon,\ell)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C33.S14.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12696 / rank
 
Normal rank
Property / Symbols used: Q12696 / qualifier
 
Defining formula:

α k subscript 𝛼 𝑘 {\displaystyle{\displaystyle\alpha_{k}}}

\alpha_{k}
Property / Symbols used: Q12696 / qualifier
 
xml-id: C33.S19.XMD1.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12698 / rank
 
Normal rank
Property / Symbols used: Q12698 / qualifier
 
Defining formula:

δ k subscript 𝛿 𝑘 {\displaystyle{\displaystyle\delta_{k}}}

\delta_{k}
Property / Symbols used: Q12698 / qualifier
 
xml-id: C33.S19.XMD3.m1bdec

Latest revision as of 14:38, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:33.19.E6
No description defined

    Statements

    Defining formula
    k ⁢ ( k + 2 ⁢ ℓ + 1 ) ⁢ δ k + 2 ⁢ δ k - 1 + ϵ ⁢ δ k - 2 + 2 ⁢ ( 2 ⁢ k + 2 ⁢ ℓ + 1 ) ⁢ A ⁢ ( ϵ , ℓ ) ⁢ α k = 0 , 𝑘 𝑘 2 ℓ 1 subscript 𝛿 𝑘 2 subscript 𝛿 𝑘 1 italic-ϵ subscript 𝛿 𝑘 2 2 2 𝑘 2 ℓ 1 𝐴 italic-ϵ ℓ subscript 𝛼 𝑘 0 {\displaystyle{\displaystyle k(k+2\ell+1)\delta_{k}+2\delta_{k-1}+\epsilon% \delta_{k-2}+2(2k+2\ell+1)A(\epsilon,\ell)\alpha_{k}=0,}}
    0 references
    DLMF id
    DLMF:33.19.E6
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    constraint
    k = 2 , 3 , … 𝑘 2 3 … {\displaystyle{\displaystyle k=2,3,\dots}}
    0 references
    Symbols used
    Q12669
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C33.S1.XMD1.m1edec
    0 references
    Q12666
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C33.S1.XMD2.m1edec
    0 references
    Q12693
    Defining formula
    ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}}
    xml-id
    C33.S1.XMD6.m1edec
    0 references
    function (locally)
    Defining formula
    A ⁢ ( ϵ , ℓ ) 𝐴 italic-ϵ ℓ {\displaystyle{\displaystyle A(\epsilon,\ell)}}
    xml-id
    C33.S14.XMD4.m1bdec
    0 references
    Q12696
    Defining formula
    α k subscript 𝛼 𝑘 {\displaystyle{\displaystyle\alpha_{k}}}
    xml-id
    C33.S19.XMD1.m1cdec
    0 references
    Q12698
    Defining formula
    δ k subscript 𝛿 𝑘 {\displaystyle{\displaystyle\delta_{k}}}
    xml-id
    C33.S19.XMD3.m1bdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9665&oldid=49227"