Definition of "holomorphic" [holomorphic]

• Complex-differentiable on an open set around every point in its domain. (adjective)

Wiktionary.org : Text is available under the Creative Commons Attribution-ShareAlike License

• "Section 33.10 explains how positive/negative frequency splitting along with "holomorphic first sheaf cohomology" plays "a direct role in generating deformations of twistor space.""
• "We start by looking at the class of holomorphic functions — essentially polynomials of infinite degree."
• "A holomorphic function will often have infinitely many roots."