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

_{\gamma }f(z)\,dz=0} Morera's theorem Methods of contour integration Star domain Walsh, J. L. (1933-05-01). "The Cauchy-Goursat Theorem for Rectifiable Jordan...

integral formula Glasser's master theorem Jordan's lemma Methods of contour integration Morera's theorem Nachbin's theorem Residue at infinity Logarithmic...

equations Methods of contour integration Nachbin's theorem Morera's theorem Mittag-Leffler's theorem Green's function generalizes this idea to the non-linear...

Mordell–Weil theorem (number theory) Moreau's theorem (convex analysis) Morera's theorem (complex analysis) Morley's categoricity theorem (model theory)...

Giacinto Morera (18 July 1856 – 8 February 1909), was an Italian engineer and mathematician. He is known for Morera's theorem in the theory of functions...

extensions, one needs a proof method that can be weakened. In fact Morera's theorem is well adapted to proving such statements. Contour integrals involving...

sets of analytic functions are analytic is an easy consequence of Morera's theorem. The set A ∞ ( Ω ) {\displaystyle A_{\infty }(\Omega )} of all bounded...

discovered in complex analysis (such as Schwarz's theorem, Morera's theorem, the Weierstrass-Casorati theorem, Laurent series, and the classification of singularities...

connection to the constant π, a standard proof of this result uses Morera's theorem, which implies that the integral is invariant under homotopy of the...