Meanings
- not comparablecomplex analysisComplex-differentiable on an open set around every point in its domain.
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.
2 more 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.
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.
2010, Graziano Gentili, Jacques Guenot, Giorgio Patrizio, Holomorphic Dynamical Systems: Lectures given at the C.I.M.E. Summer School, Springer, page v - not comparableHaving holohedral symmetry.
Synonyms & antonyms
Origin
Translations
Czech holomorfní
- holomorfníof a complex function
Finnish holomorfinen
- holomorfinenof a complex function
French holomorphe
- holomorpheof a complex function
German holomorph
- holomorphof a complex function
Hungarian holomorf
- holomorfof a complex function
Polish holomorficzny
- holomorficznyof a complex function
Portuguese holomorfo, holomorfa
- holomorfoof a complex function
- holomorfaof a complex function
Russian голоморфный
- голоморфный (golomorfnyj)of a complex function
Cite this entry
holomorphic. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/holomorphic
“holomorphic.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/holomorphic. Accessed November 2, 2026.
WatkinsX Dictionary, s.v. “holomorphic,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/holomorphic.
Source: holomorphic on Wiktionary, CC BY-SA 4.0.