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DLMF:29.6#Ex1 - MaRDI portal

DLMF:29.6#Ex1 (Q9329)

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DLMF:29.6#Ex1
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    α p = { ν ( ν + 1 ) k 2 , p = 0 , 1 2 ( ν - 2 p ) ( ν + 2 p + 1 ) k 2 , p 1 , subscript 𝛼 𝑝 cases 𝜈 𝜈 1 superscript 𝑘 2 𝑝 0 1 2 𝜈 2 𝑝 𝜈 2 𝑝 1 superscript 𝑘 2 𝑝 1 {\displaystyle{\displaystyle\alpha_{p}=\begin{cases}\nu(\nu+1)k^{2},&p=0,\\ \frac{1}{2}(\nu-2p)(\nu+2p+1)k^{2},&p\geq 1,\end{cases}}}
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