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On the comparison of powers of differential operators (polynomials)

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Abstract

Necessary and sufficient conditions are obtained for the generalized-homogeneous or common polynomial P to be more powerful then the generalized-homogeneous polynomial (in particular monomial) Q (denoted as \( P>Q \) or \( Q<P). \) Conditions are formulated in terms of orders of generalized-homogeneity of these polynomials and the multiplicities of their roots.

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Authors and Affiliations

  1. Mathematical Institute of the National Academy of Sciences of Armenia, Russian-Armenian University, 24/5 Marshal Baghramyan Ave, 0019, Yerevan, Armenia

    H. G. Ghazaryan

  2. Department of Mathematics and Mathematical Modelling, Russian - Armenian University, 123 Ovsep Emin St., 0051, Yerevan, Armenia

    H. G. Ghazaryan & V. N. Margaryan

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  1. H. G. Ghazaryan
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  2. V. N. Margaryan
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Correspondence to H. G. Ghazaryan.

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Ghazaryan, H.G., Margaryan, V.N. On the comparison of powers of differential operators (polynomials). Boll Unione Mat Ital 16, 703–740 (2023). https://doi.org/10.1007/s40574-023-00363-x

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