Graphs of Zeros of Analytic Families
نویسنده
چکیده
Let F := {fλ} be a family of holomorphic functions in a domain D ⊂ C depending holomorphically on λ ∈ U ⊂ Cn. We study the distribution of zeros of {fλ} in a subdomain R ⊂⊂ D whose boundary is a closed nonsingular analytic curve. As an application, we obtain several results about distributions of zeros of families of generalized exponential polynomials and displacement maps related to certain ODE’s.
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تاریخ انتشار 2005