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Entire Solutions of One Class of Algebraic-Differential Equations Generalizing the Briot–Bouquet Type Equations

  • A. Ya. Yanchenko

摘要

Abstract

The paper examines entire solutions of differential equations of the Briot–Bouquet type. Itis shown that (under some conditions satisfied by the polynomials \(P\) and \(Q\) ) all entire transcendental solutions of suchequations are quasipolynomials.