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Universalium. 2010.
Morera's theorem — If the integral along every C is zero, then ƒ is holomorphic on D. In complex analysis, a branch of mathematics, Morera s theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic. Morera s… … Wikipedia
Morera's theorem — /maw rair euhz/, Math. the theorem that a function is analytic in a simply connected domain if its integral is zero around every simple closed curve of finite length in the domain. [after Italian mathematician and physicist Giacinto Morera (1856… … Useful english dictionary
Giacinto Morera — (born Novara, 18 July 1856 died Turin, 8 February 1909), was an Italian mathematician. His name is associated with Morera s theorem. External links * [http://www history.mcs.st andrews.ac.uk/history/Biographies/Morera.html MacTutor biography of… … Wikipedia
Edge-of-the-wedge theorem — In mathematics, the edge of the wedge theorem implies that holomorphic functions on two wedges with an edge in common are analytic continuations of each other provided they both give the same continuous function on the edge. It is used in quantum … Wikipedia
Cauchy's integral theorem — In mathematics, the Cauchy integral theorem in complex analysis, named after Augustin Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane. Essentially, it says that if two different paths… … Wikipedia
Residue theorem — The residue theorem in complex analysis is a powerful tool to evaluate line integrals of analytic functions over closed curves and can often be used to compute real integrals as well. It generalizes the Cauchy integral theorem and Cauchy s… … Wikipedia
Cauchy's integral formula — In mathematics, Cauchy s integral formula, named after Augustin Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary… … Wikipedia
List of theorems — This is a list of theorems, by Wikipedia page. See also *list of fundamental theorems *list of lemmas *list of conjectures *list of inequalities *list of mathematical proofs *list of misnamed theorems *Existence theorem *Classification of finite… … Wikipedia
List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… … Wikipedia
List of complex analysis topics — Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers. It is useful in many branches of mathematics, including number theory and applied … Wikipedia
