Harmonic polynomial

In mathematics, in abstract algebra, a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial. The harmonic…

Papers overview

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2019

Let G be a simple molecular graph without directed and multiple edges and without loops, the vertex and edge-sets of which are…

2018

In this paper we computed explicit formulas for the edge version of harmonic index and harmonic polynomial of some classes of…

2016

Several cases of nonlinear-wave propagation are studied numerically in two dimensions within the framework of potential flow. The…

2013

In this article, we prove that a complex cone is a set of injectivity for the twisted spherical means for the class of all…

2009

The research aims at an investigation of the optimal choice of local base functions, to derive a regional solution of the gravity…

2008

Abstract.This work concerns superharmonic perturbations of a Gaussian measure given by a special class of positive weights in the…

2006

We show here that the methods of Lh-potential theory, developed in [Z1, Z5, Z6], are applicable to the problem of interpolation…

1997

An easy way to construct a fist harmonic polynomial component of any polynomial is given. If we tried to divide any polynomial P…

1988

By the generalized Do Carmo-Wallach classification theorem polynomial harmonic maps between spheres can be parametrized by a…

1971

. Using Bergman's integral operator method, the author studies an arbitrary axisymmetric harmonic polynomial H(x, p) in R3 and R…