DLMF:10.6#Ex8 (Q3040)

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DLMF:10.6#Ex8
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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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