A pseudoanalytic function is a function defined using generalized Cauchy-Riemann equations. Pseudoanalytic functions come as close as possible to having complex derivatives and are nonsingular "quasiregular" functions.
Pseudoanalytic Function
See also
Analytic Function, Semianalytic, SubanalyticExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Pseudoanalytic Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PseudoanalyticFunction.html