Hyperbolicity with Weight of Polynomials in Terms of Comparing Their Power


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Authors

  • Haik Ghazaryan
  • Vachagan Margaryan

DOI:

https://doi.org/10.32523/2077-9879-2020-11-2-40-51

Keywords:

hyperbolic by Gȧrding polynomial, weak hyperbolic polynomial, hyperbolic with the weight polynomial, completely regular Newtons polyhedron

Abstract

For a given completely regular Newton polyhedron <, and a given vector N ∈ Rn, we give conditions under which a weakly hyperbolic polynomial (with respect to the vector N) P (ξ) = P (ξ1, ..., ξn) is <−hyperbolic (with respect to the vector N). For polynomials of two variables, the largest number s > 0 is determined for which an <−hyperbolic (with respect to the vector N) polynomial is s−hyperbolic.

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Published

2020-06-30

How to Cite

Ghazaryan, H., & Margaryan, V. (2020). Hyperbolicity with Weight of Polynomials in Terms of Comparing Their Power. Eurasian Mathematical Journal, 11(2), 40–51. https://doi.org/10.32523/2077-9879-2020-11-2-40-51

Issue

Vol. 11 No. 2 (2020)

Section

Articles