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DLMF:18.27.E7 - MaRDI portal

DLMF:18.27.E7 (Q6654)

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DLMF:18.27.E7
No description defined

    Statements

    DLMF defining formula
    p n ⁢ ( x ) = P n ⁡ ( x ; a , b , c ; q ) , subscript 𝑝 𝑛 𝑥 q-Jacobi-polynomial-P 𝑛 𝑥 𝑎 𝑏 𝑐 𝑞 {\displaystyle{\displaystyle p_{n}(x)=P_{n}\left(x;a,b,c;q\right),}}
    0 references
    Symbols used
    big $$q$$ -Jacobi polynomial
    DLMF defining formula
    P n ⁡ ( x ; a , b , c ; q ) q-Jacobi-polynomial-P 𝑛 𝑥 𝑎 𝑏 𝑐 𝑞 {\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x};\NVar{a},\NVar{b},% \NVar{c};\NVar{q}\right)}}
    xml-id
    C18.S27.E5.m2abdec
    0 references
    real variable
    DLMF defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C18.S1.XMD3.m1edec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1fdec
    0 references
    polynomial of degree n
    DLMF defining formula
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1bdec
    0 references
    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1edec
    0 references

    Identifiers

     
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