What does holomorphic mean?
Definitions for holomorphic
holo·mor·phic
This dictionary definitions page includes all the possible meanings, example usage and translations of the word holomorphic.
Wiktionary
holomorphicadjective
Complex-differentiable on an around every point in its domain.
Wikipedia
holomorphic
In mathematics, a holomorphic function is a complex-valued function of one or more complex variables that is complex differentiable in a neighbourhood of each point in a domain in complex coordinate space Cn. The existence of a complex derivative in a neighbourhood is a very strong condition: it implies that a holomorphic function is infinitely differentiable and locally equal to its own Taylor series (analytic). Holomorphic functions are the central objects of study in complex analysis. Though the term analytic function is often used interchangeably with "holomorphic function", the word "analytic" is defined in a broader sense to denote any function (real, complex, or of more general type) that can be written as a convergent power series in a neighbourhood of each point in its domain. That all holomorphic functions are complex analytic functions, and vice versa, is a major theorem in complex analysis.Holomorphic functions are also sometimes referred to as regular functions. A holomorphic function whose domain is the whole complex plane is called an entire function. The phrase "holomorphic at a point z0" means not just differentiable at z0, but differentiable everywhere within some neighbourhood of z0 in the complex plane.
Chambers 20th Century Dictionary
Holomorphic
hol-o-mor′fik, adj. (math.) having the properties of an entire function, being finite, continuous, and one-valued for all finite values of the variable: showing holohedral symmetry. [Gr. holos, whole, morphē, form.]
Numerology
Chaldean Numerology
The numerical value of holomorphic in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of holomorphic in Pythagorean Numerology is: 6
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"holomorphic." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/holomorphic>.
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