holomorphic

Complex-differentiable on an open set around every point in its domain.

Adjective

  1. Complex-differentiable on an open set around every point in its domain.
    • 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...
    • 1998, Robert Friedman, Algebraic Surfaces and Holomorphic Vector Bundles, Springer, page 303, A holomorphic 1-form on X is closed, and so 0=dη₁=df and η₂.
    • The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A...
  2. Having holohedral symmetry.

Origin

From holo- + -morphic.

Derived

antiholomorphic biholomorphic holomorphically holomorphicity hyperholomorphic nonholomorphic pseudoholomorphic triholomorphic ultraholomorphic