Sentence examples for be a holomorphic solution from inspiring English sources

Let α ≥ − 1 and Ω 1, Ω 2 ⊆ R + such that μ ( Ω 1 ) μ ( Ω 2 ) > 0. Then the following identity holds: μ n + 1 Ω 1 μ n Ω 2 = μ n + 1 Ω 2 μ n Ω 1, n ∈ N 0. Provided φ : C → C such that φ | R + = f, φ cannot be a holomorphic solution to F = 0. Remark 14 X Ω in (iii) denotes the characteristic function of Ω. Remark 15 It is not necessary to have Ω 1 ∩ Ω 2 = ∅ in (iv).

Let f=( f1,…,fm) be a holomorphic mapping in a neighborhood of the origin in Cn.

Let be a holomorphic self-map and let be a holomorphic function on the unit ball.

Let h be a holomorphic function in (mathbb{B}^{n}).

Let be a holomorphic self-map of and.

Let (L rightarrow X) be a holomorphic line bundle.

Let be a domain in the complex plane and let be a holomorphic function on.

Let be an unbounded domain and let be a holomorphic function continuous on the closure.

Indeed, let be a holomorphic to first-order map with respect to, so that (4.6) holds.

Let (Phi :{mathbb D}times Xrightarrow hat{{mathbb C}}) be a holomorphic motion of X.

Let (f: Xrightarrow X) be a holomorphic endomorphism of a complex manifold X.