Singularities of functions with harmonic leading terms of two variables

preprint2015arXivOpen access

Abstract

We study the classification problem of singularities of function-germs with harmonic leading terms of two variables under the right-equivalence. We study the classification in the cases that the order of function-germs is at most 7. Moreover, we observe that the multiple actions of Laplacian appear for the classifications of such class of function-germs.

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