Holomorphic

adj

adj ·Rare ·Advanced level

Definitions

Adjective
  1. 1
    Complex-differentiable on an open set around every point in its domain. not-comparable

    "1998, Stefan-M. Heinemann, Julia Sets in Cⁿ, Hartje Kriete, Progress in Holomorphic Dynamics, Addison Wesley Longman, page 159, The iteration of holomorphic maps of one variable is one of the most lively fields of current mathematical research. Since its beginning in the twenties of this century, the theory of holomorphic endomorphisms of the Riemann sphere (= rational functions) has become well developed."

  2. 2
    Having holohedral symmetry. not-comparable

Synonyms

All synonyms
complex-differentiable

Example

More examples

"If a holomorphic function has an infinite sequence of zeroes with an accumulation point, then it is identically zero."

Etymology

From holo- + -morphic.

Related phrases

complex differentiable

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.