DLMF:18.26.E4 (Q5934): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
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.m1cdec

Revision as of 01:43, 2 January 2020

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DLMF:18.26.E4
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    Statements

    Defining formula
    R n ⁡ ( y ⁢ ( y + γ + δ + 1 ) ; γ , δ , N ) = F 2 3 ⁡ ( - n , - y , y + γ + δ + 1 γ + 1 , - N ; 1 ) , dual-Hahn-R 𝑛 𝑦 𝑦 𝛾 𝛿 1 𝛾 𝛿 𝑁 Gauss-hypergeometric-pFq 3 2 𝑛 𝑦 𝑦 𝛾 𝛿 1 𝛾 1 𝑁 1 {\displaystyle{\displaystyle R_{n}\left(y(y+\gamma+\delta+1);\gamma,\delta,N% \right)={{}_{3}F_{2}}\left({-n,-y,y+\gamma+\delta+1\atop\gamma+1,-N};1\right),}}
    0 references
    DLMF id
    DLMF:18.26.E4
    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.m1acdec
    0 references
    Q11769
    Defining formula
    R n ⁡ ( x ; γ , δ , N ) dual-Hahn-R 𝑛 𝑥 𝛾 𝛿 𝑁 {\displaystyle{\displaystyle R_{\NVar{n}}\left(\NVar{x};\NVar{\gamma},\NVar{% \delta},\NVar{N}\right)}}
    xml-id
    C18.S25.T1.t1.r5.m2adec
    0 references
    Q11743
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C18.S1.XMD1.m1cdec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1cdec
    0 references
     
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