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Formula:6028

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Digital Library of Mathematical Functions ID 17.2.E41

π’Ÿ q ⁒ f ⁒ ( z ) = { f ⁒ ( z ) - f ⁒ ( z ⁒ q ) ( 1 - q ) ⁒ z , z β‰  0 , f β€² ⁒ ( 0 ) , z = 0 , subscript π’Ÿ π‘ž 𝑓 𝑧 cases 𝑓 𝑧 𝑓 𝑧 π‘ž 1 π‘ž 𝑧 𝑧 0 superscript 𝑓 β€² 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}}}


Constraint(s)

Symbols List

  • q π‘ž {\displaystyle{\displaystyle q}} : complex base
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 28 January 2024, at 10:30.
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