complex-differentiable

That is differentiable and satisfies the Cauchy-Riemann equations on a subset of the complex plane.

Adjective

That is differentiable and satisfies the Cauchy-Riemann equations on a subset of the complex plane.
- This gives the possibility to extend the well-established theory of complex-differentiable operators, a theory with meany^([sic]) deep results. - 1993, Victor Khatskevich, David Shoiykhet, Differentiable Operators and...
- Further it can be shown that the holomorphic function also has a convergent Taylor series, that is, a complex differentiable function is also an analytic function (Section 23.7). - 2010, Luis Manuel Braga da Costa...
- We can of course regard a function f defined on #92;mathbb#123;R#125;#123;2n#125; as a function defined on #92;mathbb#123;C#125;#123;n#125;. If f is differentiable on #92;mathbb#123;R#125;#123;2n#125;, it is said to be...