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Holomorphic factorization of polynomials


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Abstract

We give necessary and sufficient conditions for a holomorphic factorization of an irreducible polynomial P(s, λ), s ∈ Cn, λ ∈ C, in a domain Ω ⊂ Cn which is connected with the ordering of the real part of the roots of the equation P(s, λ) = 0, s ∈ Ω.

About the authors

A. L. Pavlov

Donetsk National University

Author for correspondence.
Email: alex4909@gmail.com
Ukraine, Donetsk

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