DLMF:18.37.E6 (Q6054)

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DLMF:18.37.E6
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    Statements

    Defining formula
    R m , n ( α ) ⁡ ( z ) = ∑ j = 0 min ⁡ ( m , n ) ( - 1 ) j ⁢ ( α + 1 ) m + n - j ⁢ ( - m ) j ⁢ ( - n ) j ( α + 1 ) m ⁢ ( α + 1 ) n ⁢ j ! ⁢ z m - j ⁢ z ¯ n - j . disk-orthogonal-polynomial-R 𝛼 𝑚 𝑛 𝑧 superscript subscript 𝑗 0 𝑚 𝑛 superscript 1 𝑗 Pochhammer 𝛼 1 𝑚 𝑛 𝑗 Pochhammer 𝑚 𝑗 Pochhammer 𝑛 𝑗 Pochhammer 𝛼 1 𝑚 Pochhammer 𝛼 1 𝑛 𝑗 superscript 𝑧 𝑚 𝑗 𝑧 𝑛 𝑗 {\displaystyle{\displaystyle R^{(\alpha)}_{m,n}\left(z\right)=\sum_{j=0}^{\min% (m,n)}\frac{(-1)^{j}{\left(\alpha+1\right)_{m+n-j}}{\left(-m\right)_{j}}{\left% (-n\right)_{j}}}{{\left(\alpha+1\right)_{m}}{\left(\alpha+1\right)_{n}}j!}\*z^% {m-j}\*{\overline{z}^{n-j}}.}}
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    DLMF id
    DLMF:18.37.E6
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