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DLMF:10.63#Ex6 - MaRDI portal

DLMF:10.63#Ex6 (Q4510)

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DLMF:10.63#Ex6
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    f ν + 1 ( x ) + g ν + 1 ( x ) - f ν - 1 ( x ) - g ν - 1 ( x ) = 2 2 f ν ( x ) , subscript 𝑓 𝜈 1 𝑥 subscript 𝑔 𝜈 1 𝑥 subscript 𝑓 𝜈 1 𝑥 subscript 𝑔 𝜈 1 𝑥 2 2 superscript subscript 𝑓 𝜈 𝑥 {\displaystyle{\displaystyle f_{\nu+1}(x)+g_{\nu+1}(x)-f_{\nu-1}(x)-g_{\nu-1}(% x)=2\sqrt{2}f_{\nu}^{\prime}(x),}}
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