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What does holomorphic mean?

Looking for the meaning or definition of the word holomorphic? Here's what it means.

Adjective
  1. (complex analysis, of a complex function) Complex-differentiable on an open set around every point in its domain.
  2. Having holohedral symmetry.
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Examples
Rational approximation to holomorphic functions on compact subsets of their domain of holomorphy is a most classical aspect of function theory.
Holomorphic structures in hydrodynamical models of nearly geostrophic flow.
Wiatrowski, On the coefficients of some family of holomorphic functions, Zeszyry Nauk.
In particular, in the case where the boundary holonomy is infinitely tangent to the identity, we determine the structure of the group of leafwise holomorphic automorphisms.
F respectively as the Picard group of divisors and as the Jacobian group of holomorphic forms.

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