DLMF:18.20.E5 (Q5846): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11736 / rank
 
Normal rank
Property / Symbols used: Q11736 / qualifier
 
Defining formula:

N 𝑁 {\displaystyle{\displaystyle N}}

N
Property / Symbols used: Q11736 / qualifier
 
xml-id: C18.S1.XMD7.m1bdec

Revision as of 01:31, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:18.20.E5
No description defined

    Statements

    Defining formula
    Q n ⁡ ( x ; α , β , N ) = F 2 3 ⁡ ( - n , n + α + β + 1 , - x α + 1 , - N ; 1 ) , Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 Gauss-hypergeometric-pFq 3 2 𝑛 𝑛 𝛼 𝛽 1 𝑥 𝛼 1 𝑁 1 {\displaystyle{\displaystyle Q_{n}\left(x;\alpha,\beta,N\right)={{}_{3}F_{2}}% \left({-n,n+\alpha+\beta+1,-x\atop\alpha+1,-N};1\right),}}
    0 references
    DLMF id
    DLMF:18.20.E5
    0 references
    constraint
    n = 0 , 1 , … , N 𝑛 0 1 … 𝑁 {\displaystyle{\displaystyle n=0,1,\dots,N}}
    0 references
    Symbols used
    Q11125
    Defining formula
    F q p ⁡ ( a 1 , … , a p ; b 1 , … , b q ; z ) Gauss-hypergeometric-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 𝑧 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}
    xml-id
    C16.S2.m1adec
    0 references
    Q11768
    Defining formula
    Q n ⁡ ( x ; α , β , N ) Hahn-polynomial-Q 𝑛 𝑥 𝛼 𝛽 𝑁 {\displaystyle{\displaystyle Q_{\NVar{n}}\left(\NVar{x};\NVar{\alpha},\NVar{% \beta},\NVar{N}\right)}}
    xml-id
    C18.S19.T1.t1.r2.m1adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1edec
    0 references
    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1bdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5846&oldid=32219"