DLMF:18.37.E1 (Q6049)

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DLMF:18.37.E1
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    test
    R m , n ( α ) ⁡ ( r ⁢ e i ⁢ θ ) = e i ⁢ ( m - n ) ⁢ θ ⁢ r | m - n | ⁢ P min ⁡ ( m , n ) ( α , | m - n | ) ⁡ ( 2 ⁢ r 2 - 1 ) P min ⁡ ( m , n ) ( α , | m - n | ) ⁡ ( 1 ) , disk-orthogonal-polynomial-R 𝛼 𝑚 𝑛 𝑟 superscript 𝑒 imaginary-unit 𝜃 superscript 𝑒 imaginary-unit 𝑚 𝑛 𝜃 superscript 𝑟 𝑚 𝑛 Jacobi-polynomial-P 𝛼 𝑚 𝑛 𝑚 𝑛 2 superscript 𝑟 2 1 Jacobi-polynomial-P 𝛼 𝑚 𝑛 𝑚 𝑛 1 {\displaystyle{\displaystyle R^{(\alpha)}_{m,n}\left(re^{\mathrm{i}\theta}% \right)=e^{\mathrm{i}(m-n)\theta}r^{|m-n|}\frac{P^{(\alpha,|m-n|)}_{\min(m,n)}% \left(2r^{2}-1\right)}{P^{(\alpha,|m-n|)}_{\min(m,n)}\left(1\right)},}}
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    DLMF id
    DLMF:18.37.E1
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