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Acta Mathematica Vietnamica

A FAMILY OF ANALYTIC FUNCTIONS WHOSE MEMBERS HAVE EQUAL NUMBER OF ZEROS

icon-email ALEXANDER ABIAN

Abstract

Sufficient conditions are given for $pf(z)+qg(z)$ to have (in a region) the same number of zeros for every nonnegative real number $p$ and $q$ not both zero, where $f(z)$ as well as $g(z)$ is an analytic function.

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Viện Hàn lâm Khoa học và Công nghệ Việt Nam Hội Toán học Việt Nam Viện Nghiên cứu Cao cấp về toán MathScinet Arxiv