Morera's theorem, named after Giacinto Morera, gives an important criterion for proving that a function is holomorphic.

Statement. Morera's theorem is a partial converse of Cauchy's theorem, as follows. Theorem 1.1 (Morera). Let Ω be a region, and let f : Ω −→ C be continuous.

11 сент. 2012 г. · Morera´s theorem states:Let the function f:C⟶C. be continuous in a simply connected open set S. If ∮Cf(z)dz=0. Proof of Morera's Theorem for Triangular Contours Morera Theorem And Cauchy's Integral Theorem Другие результаты с сайта math.stackexchange.com

Morera's Theorem gives an important condition for a complex function being analytic throughout the domain of the function. Learn more about Morera's theorem ...

If f(z) is continuous in a region D and satisfies ∮_gammafdz=0 for all closed contours gamma in D , then f(z) is analytic in D.

The aim of this paper is to investigate A-analytic functions in a special case when the function A is an anti-analytic function in a domain.

The aim of this paper is to investigate A-analytic functions in a special case when the function A is an anti-analytic function in a domain.

Продолжительность: 22:18
Опубликовано: 8 авг. 2020 г.

22 мар. 2013 г. · Theorem [1] Suppose G G is a region in C ℂ , and f:G→C f : G → ℂ is a continuous function . If for every closed triangle Δ Δ in G G ...