DLMF:18.37.E7 (Q6055): Difference between revisions

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Property / Symbols defined
 
Property / Symbols defined: triangle polynomial / rank
 
Normal rank

Revision as of 15:22, 30 December 2019

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DLMF:18.37.E7
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    P m , n α , β , γ ( x , y ) = P m - n ( α , β + γ + 2 n + 1 ) ( 2 x - 1 ) x n P n ( β , γ ) ( 2 x - 1 y - 1 ) , triangle-orthogonal-polynomial-P 𝛼 𝛽 𝛾 𝑚 𝑛 𝑥 𝑦 Jacobi-polynomial-P 𝛼 𝛽 𝛾 2 𝑛 1 𝑚 𝑛 2 𝑥 1 superscript 𝑥 𝑛 Jacobi-polynomial-P 𝛽 𝛾 𝑛 2 superscript 𝑥 1 𝑦 1 {\displaystyle{\displaystyle P^{\alpha,\beta,\gamma}_{m,n}\left(x,y\right)=P^{% (\alpha,\beta+\gamma+2n+1)}_{m-n}\left(2x-1\right)\*x^{n}P^{(\beta,\gamma)}_{n% }\left(2x^{-1}y-1\right),}}
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