holomorphic

Adjective

holomorphic (not comparable)

1. Complex-differentiable on an open set around every point in its domain.
   • 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.1998, Stefan-M. Heinemann, Julia Sets in Cⁿ, Hartje Kriete, Progress in Holomorphic Dynamics, Addison Wesley Longman, page 159
   • A holomorphic 1-form on X is closed, and so
     0=dη₁=df and η₂.1998, Robert Friedman, Algebraic Surfaces and Holomorphic Vector Bundles, Springer, page 303
2. Having holohedral symmetry.