DLMF:18.9#Ex2 (Q5597)

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DLMF:18.9#Ex2
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    B n = ( α 2 - β 2 ) ( 2 n + α + β + 1 ) 2 ( n + 1 ) ( n + α + β + 1 ) ( 2 n + α + β ) , subscript 𝐵 𝑛 superscript 𝛼 2 superscript 𝛽 2 2 𝑛 𝛼 𝛽 1 2 𝑛 1 𝑛 𝛼 𝛽 1 2 𝑛 𝛼 𝛽 {\displaystyle{\displaystyle B_{n}=\dfrac{(\alpha^{2}-\beta^{2})(2n+\alpha+% \beta+1)}{2(n+1)(n+\alpha+\beta+1)(2n+\alpha+\beta)},}}
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