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DLMF:10.63#Ex20 - MaRDI portal

DLMF:10.63#Ex20 (Q4524)

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DLMF:10.63#Ex20
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    s ν = 1 2 p ν + 1 + 1 2 p ν - 1 - ( ν 2 / x 2 ) p ν , subscript 𝑠 𝜈 1 2 subscript 𝑝 𝜈 1 1 2 subscript 𝑝 𝜈 1 superscript 𝜈 2 superscript 𝑥 2 subscript 𝑝 𝜈 {\displaystyle{\displaystyle s_{\nu}=\tfrac{1}{2}p_{\nu+1}+\tfrac{1}{2}p_{\nu-% 1}-(\nu^{2}/x^{2})p_{\nu},}}
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