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Topic: Antiholomorphic function

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	Holomorphic function - Wikipedia, the free encyclopedia
		Holomorphic functions are the central object of study of complex analysis; they are functions defined on an open subset of the complex number plane C with values in C that are complex-differentiable at every point.
		All polynomial functions in z with complex coefficients are holomorphic on C, and so are the trigonometric functions of z and the exponential function.
		A complex analytic function of several complex variables is defined to be analytic and holomorphic at a point if it is locally expandable (within a polydisk, a cartesian product of disks, centered at that point) as a convergent power series in the variables.
	en.wikipedia.org /wiki/Holomorphic (797 words)

	Category:Complex analysis - Wikipedia, the free encyclopedia
		Complex analysis is the branch of mathematics investigating holomorphic functions, i.e.
		functions which are defined in some region of the complex plane, take complex values, and are differentiable as complex functions.
		Most elementary functions, such as all polynomials, the exponential function, and the trigonometric functions, are holomorphic.
	en.wikipedia.org /wiki/Category:Complex_analysis (151 words)

	Holomorphic (Site not responding. Last check: 2007-10-22)
		Holomorphic functions are the central object of study of complex analysis ; they are functions defined on an open subset of the complex number plane C with values in C that are complex-differentiable atevery point.
		The principal branch of the logarithm function is holomorphic on the set C - {z ∈ R : z≤ 0}.
		The inverse trigonometric functions likewise have seams and are holomorphic everywhereexcept the seams.
	www.therfcc.org /holomorphic-69167.html (530 words)

	Holomorphic function - Open Encyclopedia (Site not responding. Last check: 2007-10-22)
		C is a function, we say that f is complex differentiable at the point z
		The principal branch of the logarithm function is holomorphic on the set C - {z ∈ R : z ≤ 0}.
		The inverse trigonometric functions likewise have seams and are holomorphic everywhere except the seams.
	www.open-encyclopedia.com /Holomorphic (559 words)

	Holomorphic function - Term Explanation on IndexSuche.Com
		are the central object of study of complex_analysis; they are functions defined on an open subset of the complex_number plane C with values in C that are complex-differentiable at every point.
		A function that is holomorphic on the whole complex plane is called an entire_function.
		All polynomial functions in ''z'' with complex coefficients are holomorphic on C, and so are the trigonometric_functions of ''z'' and the exponential_function.
	www.indexsuche.com /Holomorphic_function.html (575 words)

	Antiholomorphic function -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		Antiholomorphic function -- Facts, Info, and Encyclopedia article
		This implies that a function is antiholomorphic (Click link for more info and facts about if and only if) if and only if if can be expanded in a (The sum of terms containing successively higher integral powers of a variable) power series in z* in a neighborhood of each point in its domain.
		If a function is both holomorphic and antiholomorphic, then it is constant on any (Click link for more info and facts about connected component) connected component of its domain.
	www.absoluteastronomy.com /encyclopedia/a/an/antiholomorphic_function.htm (120 words)

	Holomorphic Function Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-22)
		Looking For holomorphic function - Find holomorphic function and more at Lycos Search.
		Find holomorphic function - Your relevant result is a click away!
		This site or it's owners are in no way affiliated with the American Folk Art Museum in New York.
	www.folkartmuseum.com /encyclopedia/Holomorphic_function (924 words)

	Antiholomorphic function (Site not responding. Last check: 2007-10-22)
		In mathematics, a function on the complex plane isantiholomorphic at a point if its derivative with respect to z* exists.
		If the function isantiholomorphic at every point of some subset of the complex plane, then it is antiholomorphic on that set.
		If f(z) is a holomorphic function,then f(z) is an antiholomorphic* function.
	www.therfcc.org /antiholomorphic-function-199280.html (69 words)

	Conformal Invariance and the exact solution of BFKL equations - Navelet, Peschanski (ResearchIndex) (Site not responding. Last check: 2007-10-22)
		Abstract: The conformal invariance properties of the QCD Pomeron in the transverse plane allow us to give an explicit analytical expression for the solution of the BFKL equations both in the transverse coordinate and momentum spaces.
		This result is obtained from the solution of the conformal eigenvectors in the mixed representation in terms of two conformal blocks, each block being the product of an holomorphic times an antiholomorphic function.
		This property is used to give an exact expression for the...
	citeseer.ist.psu.edu /18128.html (346 words)

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