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A translation of "On the positive representation of polynomials" by Ernst Meissner

Hannah K. Wayment-Steele

Abstract

We provide an English translation of "Über positive Darstellungen von Polynomen" by Ernst Meissner, originally published 1911 in Mathematische Annalen (70) 223-235.

A translation of "On the positive representation of polynomials" by Ernst Meissner

Abstract

We provide an English translation of "Über positive Darstellungen von Polynomen" by Ernst Meissner, originally published 1911 in Mathematische Annalen (70) 223-235.
Paper Structure (5 sections, 60 equations)

This paper contains 5 sections, 60 equations.

Table of Contents

  1. On the Positive Representation of Polynomials
  2. The Hurwitzian reduction of the problem to the solution of a system of inequalities.
  3. Geometric Interpretation and Solution to the System of Inequalities.
  4. Construction of the representation factors via a region $G$.
  5. The Extension of the Laguerrian Theorem to Polynomials of Two Variables.