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

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...

_{\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...

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...

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...

analysis) Monodromy theorem (complex analysis) Montel's theorem (complex analysis) Morera's theorem (complex analysis) Nachbin's theorem(complex analysis)...

holomorphic; similarly for derivatives. This is an immediate consequence of Morera's theorem for the first statement. Cauchy's integral formula gives a formula...

their common edge is the real axis. This result can be proved from Morera's theorem. Indeed, a function is holomorphic provided its integral round any...

formula Cauchy's integral theorem Mittag-Leffler's theorem Methods of contour integration Morera's theorem Partial fractions in complex analysis Ahlfors,...

region of absolute convergence: this is a consequence of Fubini's theorem and Morera's theorem. Similarly, the set of values for which F(s) converges (conditionally...

the Riemann integral and uses the Lebesgue integral instead. Using Morera's Theorem, one can show that if a sequence of analytic functions converges uniformly...

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...

of questions. List of complex analysis topics Cauchy integral theorem Morera's theorem Wirtinger derivatives d'Alembert, Jean (1752). Essai d'une nouvelle...

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...

14802, available at Gallica. The paper containing the first proof of Morera's theorem for holomorphic functions of several variables. Severi, Francesco (1931a)...

Rouché's theorem Bromwich integral Morera's theorem Mellin transform Kramers–Kronig relation, a. k. a. Hilbert transform Sokhotski–Plemelj theorem Exponential...

mathematician known for her work on the summability of Fourier series, on Morera's theorem for analytic functions of several variables and for finding the solution...

Leagues) (b. 1861) February 8 – Giacinto Morera, Italian engineer and mathematician, known for Morera's theorem (b. 1856) April 24 – Giovanni Vailati, Italian...

Minkowski Minkowski inequality monotone Monotone convergence theorem. Morera Morera's theorem says a function is holomorphic if the integrations of it over...

"regular functions" was initiated by Fueter (1936) through the idea of Morera's theorem: quaternion function F {\displaystyle F} is "left regular at q {\displaystyle...

important result is his proof in (Fichera 1983) of an extension of Morera's theorem to functions of several complex variables, under the hypothesis that...

this includes a Cauchy Theorem, a Cauchy integral formula, Morera's theorem, Taylor series, Laurent series and Liouville Theorem. In this case the Cauchy...

and James Ingalls. Siacci also studied theoretical mechanics (Siacci's theorem, rigid body dynamics, canonical transformations, and inverse problems)...

Vitali convergence theorem Vitali covering theorem Vitali–Carathéodory theorem Vitali–Hahn–Saks theorem Vitali set Lebesgue–Vitali theorem J J O'Connor and...

the literature was to show under what conditions Arrow's impossibility theorem applied, as well as to extend and enrich the theory of social choice, informed...

makes. Cliodynamics Científico Charvaka Determinism Gödel's incompleteness theorems London Positivist Society Nature versus nurture Physics envy Scientific...

indefinite point in the future. Giddens's paradox consists of the following theorem. We are likely put off responding adequately to climate change until major...