Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
Abstract:
Let be a family of holomorphic functions in a domain depending holomorphically on . We study the distribution of zeros of in a subdomain whose boundary is a closed non-singular 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.