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complex-differentiable

adj

Definitions

  1. That is differentiable and satisfies the Cauchy-Riemann equations on a subset of the…

    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.
    • 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).

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA