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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.

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Authors and Affiliations

  1. Donetsk National University, Donetsk, Ukraine

    A. L. Pavlov

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  1. A. L. Pavlov
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Correspondence to A. L. Pavlov.

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Donetsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 57, No. 5, pp. 1102–1108, September–October, 2016; DOI: 10.17377/smzh.2016.57.515.

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Pavlov, A.L. Holomorphic factorization of polynomials. Sib Math J 57, 860–865 (2016). https://doi.org/10.1134/S0037446616050153

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  • DOI: https://doi.org/10.1134/S0037446616050153

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