An analytic function

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• Analytic function — This article is about both real and complex analytic functions. The article holomorphic function is solely about analytic functions in complex analysis. An analytic signal is a signal with no negative frequency components. In mathematics, an… …   Wikipedia

• Global analytic function — In the mathematical field of complex analysis, a global analytic function is a generalization of the notion of an analytic function which allows for functions to have multiple branches. Global analytic functions arise naturally in considering the …   Wikipedia

• Quasi-analytic function — In mathematics, a quasi analytic class of functions is a generalization of the class of real analytic functions based upon the following fact. If f is an analytic function on an interval , and at some point f and all of its derivatives are zero,… …   Wikipedia

• analytic function — noun a real valued function which is uniquely defined through its derivatives at one point …   Wiktionary

• Analytic combinatorics — is a branch of combinatorics that describes combinatorial classes using generating functions, which are often analytic functions, but sometimes formal power series.Two types of generating functions are commonly used mdash; ordinary and… …   Wikipedia

• Analytic continuation — In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function. Analytic continuation often succeeds in defining further values of a function, for example in a new region where …   Wikipedia

• Analytic signal — Not to be confused with Analytic function. In mathematics and signal processing, the analytic representation of a real valued function or signal facilitates many mathematical manipulations of the signal. The basic idea is that the negative… …   Wikipedia

• Analytic capacity — In complex analysis, the analytic capacity of a compact subset K of the complex plane is a number that denotes how big a bounded analytic function from mathbb{C}setminus E can become. Roughly speaking, gamma(E) measures the size of the unit ball… …   Wikipedia

• Analytic — See also: Analysis Contents 1 Natural sciences 2 Philosophy 3 Social sciences …   Wikipedia

• Analytic variety — In mathematics, specifically geometry, an analytic variety is defined locally as the set of common solutions of several equations involving analytic functions. It is analogous to the included concept of complex algebraic variety, and any complex… …   Wikipedia

• analytic continuation — Math. 1. a method of finding a function that coincides with a given analytic function in a domain and that remains analytic in a larger domain. 2. any function found by this method. [1955 60] * * * …   Universalium