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DLMF:30.3#Ex5 - MaRDI portal

DLMF:30.3#Ex5 (Q9525)

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DLMF:30.3#Ex5
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    β k = ( k + m ) ( k + m + 1 ) - 2 γ 2 ( k + m ) ( k + m + 1 ) - 1 + m 2 ( 2 k + 2 m - 1 ) ( 2 k + 2 m + 3 ) , subscript 𝛽 𝑘 𝑘 𝑚 𝑘 𝑚 1 2 superscript 𝛾 2 𝑘 𝑚 𝑘 𝑚 1 1 superscript 𝑚 2 2 𝑘 2 𝑚 1 2 𝑘 2 𝑚 3 {\displaystyle{\displaystyle\beta_{k}=(k+m)(k+m+1)-2\gamma^{2}\frac{(k+m)(k+m+% 1)-1+m^{2}}{(2k+2m-1)(2k+2m+3)},}}
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