DLMF:17.2.E41 (Q5331)

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DLMF:17.2.E41
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    𝒟 q f ( z ) = { f ( z ) - f ( z q ) ( 1 - q ) z , z 0 , f ( 0 ) , z = 0 , subscript 𝒟 𝑞 𝑓 𝑧 cases 𝑓 𝑧 𝑓 𝑧 𝑞 1 𝑞 𝑧 𝑧 0 superscript 𝑓 0 𝑧 0 {\displaystyle{\displaystyle\mathcal{D}_{q}f(z)=\begin{cases}\dfrac{f(z)-f(zq)% }{(1-q)z},&z\neq 0,\\ f^{\prime}(0),&z=0,\end{cases}}}
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    Warning: Falling back to standard tex;
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