2 papers
math.AP2021
On polynomial solutions of PDE
Anna R. Gharibyan, Hakop A. Hakopian
In this paper we prove that the PDE where and are multivariate polynomials, has a solution in the space of polynomials of total degree not exceeding whe…
math.AC2019
On the factorization of linear combinations of polynomials
Anna Gharibyan
In this paper we consider linear combinations of two trivariate homogeneous polynomials of second degree. We formulate and solve two problems: i) Characterization of polynomials fo…