Comparison of Powers of Differential Polynomials

Haik Ghazaryan

doi:10.32523/2077-9879-2023-14-4-23-46

Comparison of Powers of Differential Polynomials

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Authors

Haik Ghazaryan

DOI:

https://doi.org/10.32523/2077-9879-2023-14-4-23-46

Keywords:

the power of a differential operator (polynomial), comparison of polynomials, generalized-homogeneous polynomial, Newton polyhedron

Abstract

The paper obtains necessary and sufficient conditions for a polynomial to be more powerful than another. These conditions are formulated in terms of the orders of generalized-homogeneous sub-polynomials and the multiplicity of their zeros.

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Published

2023-12-30

How to Cite

Ghazaryan, H. (2023). Comparison of Powers of Differential Polynomials. Eurasian Mathematical Journal, 14(4), 23–46. https://doi.org/10.32523/2077-9879-2023-14-4-23-46