DLMF:18.18.E18 (Q5808): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1qdec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1ndec

Latest revision as of 01:25, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.18.E18
No description defined

    Statements

    Defining formula
    L n ( β ) ⁡ ( x ) = ∑ ℓ = 0 n ( β - α ) n - ℓ ( n - ℓ ) ! ⁢ L ℓ ( α ) ⁡ ( x ) , Laguerre-polynomial-L 𝛽 𝑛 𝑥 superscript subscript ℓ 0 𝑛 Pochhammer 𝛽 𝛼 𝑛 ℓ 𝑛 ℓ Laguerre-polynomial-L 𝛼 ℓ 𝑥 {\displaystyle{\displaystyle L^{(\beta)}_{n}\left(x\right)=\sum_{\ell=0}^{n}% \frac{{\left(\beta-\alpha\right)_{n-\ell}}}{(n-\ell)!}L^{(\alpha)}_{\ell}\left% (x\right),}}
    0 references
    DLMF id
    DLMF:18.18.E18
    0 references
    Symbols used
    Q11333
    Defining formula
    L n ( α ) ⁡ ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}
    xml-id
    C18.S3.T1.t1.r12.m2addec
    0 references
    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1afdec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5ajdec
    0 references
    Q11744
    Defining formula
    ℓ ℓ {\displaystyle{\displaystyle\ell}}
    xml-id
    C18.S1.XMD4.m1hdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1qdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1ndec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5808&oldid=31275"