# Holomorphic function/Related Articles

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- Abel function [r]: A strictly increasing continuous function
*g*satisfying for a given function*f*.^{[e]} - Biholomorphism [r]: Property of a holomorphic function from to

characterized in that there exist holomorphic function
**:**
and . ^{[e]}

- Contour plot [r]: Image, that shows a function f of two variables with lines f(x,y)=const in the x,y plane
^{[e]} - Entire function [r]: is a function that is holomorphic in the whole complex plane.
^{[e]} - Fundamental Theorem of Algebra [r]: Any nonconstant polynomial whose coefficients are complex numbers has at least one complex number as a root.
^{[e]} - Identity function [r]: The function from a set to itself which maps each element to itself.
^{[e]} - Isolated singularity [r]: A point at which function of a complex variable is not holomorphic, but which has a neighbourhood on which the function is holomorphic.
^{[e]} - Legendre-Gauss Quadrature formula [r]: the specific approximation of the integral with the sum of N terms, which becomes exact for the polynomial integrand of order < 2N.
^{[e]} - Limit (mathematics) [r]: Mathematical concept based on the idea of closeness, used mainly in studying the behaviour of functions close to values at which they are undefined.
^{[e]} - Logarithm [r]: Inverse of exponentiation, as subtraction is the inverse of addition and division is the inverse of multiplication.
^{[e]} - Mathematical notation [r]: A system of symbolic representations of mathematical objects and ideas.
^{[e]} - Meromorphic functions [r]: Function of complex variables which is analytic in its domain of definition save at a finite number of points which are poles.
^{[e]} - Open map [r]: Function between two topological spaces which sends each open set of one to an open set of the other.
^{[e]} - Pole (complex analysis) [r]: A type of singularity of a function of a complex variable where it behaves like a negative power.
^{[e]} - Polynomial [r]: A formal expression obtained from constant numbers and one or indeterminates; the function defined by such a formula.
^{[e]} - Proof that holomorphic functions are analytic [r]:
*Add brief definition or description* - Removable singularity [r]: A singularity of a complex function which can be removed by redefining the function value at that point.
^{[e]} - Residue (mathematics) [r]: Complex number which describes the behavior of line integrals of a meromorphic function around a singularity.
^{[e]} - Sequence [r]: An enumerated list in mathematics; the elements of this list are usually referred as to the terms.
^{[e]} - Special function [r]: Various families of solution functions corresponding to cases of the hypergeometric equation or functions used in the equation's study, such as the gamma function.
^{[e]} - Superfunction [r]: For given function , solution of equation
^{[e]} - Taylor series [r]: Representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point.
^{[e]} - Tetration [r]: Holomorphic function characterized in that at integer values of its argument it can be interpreted as iterated exponent.
^{[e]}