holomorphic

Definitions

1. Complex-differentiable on an open set around every point in its domain.
   not-comparable
2. Having holohedral symmetry.
   not-comparable

Equivalents

Examples

“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.”

“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 holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector field) acting on it.”

CEFR level