Definitions
from The Century Dictionary.
- Noting a function of a complex variable which is continuous, one-valued, and has a derived function when the variable moves in a certain region of the plane: so called to indicate that it is like an integer function for which this property holds throughout the entire plane.
- Exhibiting holohedral symmetry.
- In mathematics, having the form of an entire function.
from Wiktionary, Creative Commons Attribution/Share-Alike License.
- adjective complex analysis Complex-differentiable on an
open set around every point in itsdomain .
Etymologies
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Examples
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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."
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We start by looking at the class of holomorphic functions — essentially polynomials of infinite degree.
Wolfram Blog : Mathematica 7, Johannes Kepler, and Transcendental Roots 2008
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A holomorphic function will often have infinitely many roots.
Wolfram Blog : Mathematica 7, Johannes Kepler, and Transcendental Roots 2008
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The action of a real semisimple lie group on a complex flag manifold, II: Unitary representations on partially holomorphic cohomology spaces by Joseph Albert Wolf
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So the normal BCOV holomorphic anomaly - one for closed strings - must be extended to the open string.
The Reference Frame 2010
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He must extend the holomorphic anomaly equation first.
The Reference Frame 2010
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Genealogical concordance and recombination analyses confirm the existence of two genetically isolated agamospecies including T. harzianum sensu stricto and two hypothetical holomorphic species related to but different from H. lixii.
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The sum obeys the extended holomorphic anomaly equation.
The Reference Frame 2010
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Genealogical concordance and recombination analyses confirm the existence of two genetically isolated agamospecies including T. harzianum sensu stricto and two hypothetical holomorphic species related to but different from H. lixii.
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Questions: are both sides of the OSV well-defined, is it true everywhere, what do the holomorphic anomalies do, is it consistent with elmg. dualities, consistent nonperturbatively?
The Reference Frame 2010
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