complex-differentiable
complex-differentiable adjective: that is differentiable and satisfies the Cauchy-Riemann equations on a subset of the complex plane.
Adjective
complex-differentiable (not comparable)
- 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 Nonlinear Equations, page 75
- 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 Campos, Complex Analysis with Applications to Flows and Fields, page 335
- Synonyms:
- analytic, holomorphic, entire, integral
Synonyms of complex-differentiable
Forms of complex-differentiable
| alternative form | complex differentiable |
|---|
Questions about complex-differentiable
- What does complex-differentiable mean?
- Complex-differentiable means that is differentiable and satisfies the Cauchy-Riemann equations on a subset of the complex plane.
- What part of speech is complex-differentiable?
- Complex-differentiable is an adjective.
Words near complex-differentiable in the dictionary
Source and license
Adapted from Wiktionary: complex-differentiable (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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