DLMF:18.25.E9 (Q5924): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11731 / rank
 
Normal rank
Property / Symbols used: Q11731 / qualifier
 
Defining formula:

p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}

p_{n}(x)
Property / Symbols used: Q11731 / qualifier
 
xml-id: C18.S1.XMD9.m1ddec

Revision as of 01:41, 2 January 2020

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DLMF:18.25.E9
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    Statements

    Defining formula
    ∑ y = 0 N p n ⁢ ( y ⁢ ( y + γ + δ + 1 ) ) ⁢ p m ⁢ ( y ⁢ ( y + γ + δ + 1 ) ) ⁢ γ + δ + 1 + 2 ⁢ y γ + δ + 1 + y ⁢ ω y = h n ⁢ δ n , m . superscript subscript 𝑦 0 𝑁 subscript 𝑝 𝑛 𝑦 𝑦 𝛾 𝛿 1 subscript 𝑝 𝑚 𝑦 𝑦 𝛾 𝛿 1 𝛾 𝛿 1 2 𝑦 𝛾 𝛿 1 𝑦 subscript 𝜔 𝑦 subscript ℎ 𝑛 Kronecker 𝑛 𝑚 {\displaystyle{\displaystyle\sum_{y=0}^{N}p_{n}(y(y+\gamma+\delta+1))p_{m}(y(y% +\gamma+\delta+1))\*\frac{\gamma+\delta+1+2y}{\gamma+\delta+1+y}\omega_{y}=h_{% n}\delta_{n,m}.}}
    0 references
    DLMF id
    DLMF:18.25.E9
    0 references
    Symbols used
    Q10768
    Defining formula
    δ j , k Kronecker 𝑗 𝑘 {\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}
    xml-id
    introduction.Sx4.p1.t1.r4.m5aadec
    0 references
    Q11743
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C18.S1.XMD1.m1cdec
    0 references
    Q11730
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1adec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1fdec
    0 references
    Q11736
    Defining formula
    N 𝑁 {\displaystyle{\displaystyle N}}
    xml-id
    C18.S1.XMD7.m1bdec
    0 references
    Q11754
    Defining formula
    δ 𝛿 {\displaystyle{\displaystyle\delta}}
    xml-id
    C18.S1.XMD8.m1bdec
    0 references
    Q11731
    Defining formula
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1ddec
    0 references
     
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