DLMF:18.37.E8 (Q6056)

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DLMF:18.37.E8
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    Statements

    Defining formula
    ∬ 0 < y < x < 1 P m , n α , β , γ ⁡ ( x , y ) ⁢ P j , ℓ α , β , γ ⁡ ( x , y ) ⁢ ( 1 - x ) α ⁢ ( x - y ) β ⁢ y γ ⁢ d x ⁢ d y = 0 , subscript double-integral 0 𝑦 𝑥 1 triangle-orthogonal-polynomial-P 𝛼 𝛽 𝛾 𝑚 𝑛 𝑥 𝑦 triangle-orthogonal-polynomial-P 𝛼 𝛽 𝛾 𝑗 ℓ 𝑥 𝑦 superscript 1 𝑥 𝛼 superscript 𝑥 𝑦 𝛽 superscript 𝑦 𝛾 𝑥 𝑦 0 {\displaystyle{\displaystyle\iint\limits_{0<y<x<1}P^{\alpha,\beta,\gamma}_{m,n% }\left(x,y\right)P^{\alpha,\beta,\gamma}_{j,\ell}\left(x,y\right)\*(1-x)^{% \alpha}(x-y)^{\beta}y^{\gamma}\mathrm{d}x\mathrm{d}y=0,}}
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    DLMF id
    DLMF:18.37.E8
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    constraint
    n ≠ ℓ 𝑛 ℓ {\displaystyle{\displaystyle n\neq\ell}}
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