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DLMF:10.6#Ex7 - MaRDI portal

DLMF:10.6#Ex7 (Q3737)

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DLMF:10.6#Ex7
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    z f ν ( z ) = λ q z q f ν - 1 ( z ) + ( p - ν q ) f ν ( z ) , 𝑧 superscript subscript 𝑓 𝜈 𝑧 𝜆 𝑞 superscript 𝑧 𝑞 subscript 𝑓 𝜈 1 𝑧 𝑝 𝜈 𝑞 subscript 𝑓 𝜈 𝑧 {\displaystyle{\displaystyle zf_{\nu}^{\prime}(z)=\lambda qz^{q}f_{\nu-1}(z)+(% p-\nu q)f_{\nu}(z),}}
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