holomorphic

== English == === Etymology === From holo- +‎ -morphic. === Adjective === holomorphic (not comparable) (complex analysis, of a complex function) 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 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 = d η 1 = d f ∧ η 2 {\displaystyle 0=d\eta _{1}=df\land \eta _{2}} . Having holohedral symmetry. ==== Derived terms ==== ==== Translations ====