This discussion focuses on calculating successive derivatives of the form \(\frac{{d}^{a+ib}}{d{x}^{a+ib}} [f(x)]\), specifically within the context of fractional calculus for complex orders. The Riemann–Liouville integral is identified as a key concept when \(f:\mathbb{R}\rightarrow \mathbb{R}\). Participants emphasize the need for resources, particularly books on fractional calculus, that effectively address the transfer of results to complex orders.
PREREQUISITESMathematicians, researchers in applied mathematics, and students studying fractional calculus and complex analysis will benefit from this discussion.