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Harmonic polynomial
In mathematics, in abstract algebra, a multivariate polynomial over a field whose Laplacian is zero is termed a harmonic polynomial. The harmonic…
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2 relations
Polynomial
Radical polynomial
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
An extension of the Eshelby conjecture to domains of general shape in anti-plane elasticity
Doosung Choi
,
Kyoungsun Kim
,
Mikyoung Lim
2018
Corpus ID: 59325653
2018
2018
Edge Version of Harmonic Index and Harmonic Polynomial of Rooted Product Graphs
Sohail Zafar
,
M. S. Sardar
,
R. Nazir
,
Z. Zahid
Journal of Basic & Applied Sciences
2018
Corpus ID: 54905708
In this paper we computed explicit formulas for the edge version of harmonic index and harmonic polynomial of some classes of…
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2017
2017
Conquering the pre-computation in two-dimensional harmonic polynomial transforms
R. Slevinsky
2017
Corpus ID: 119656723
We describe a skeletonization of the spherical harmonic connection problem that reduces the storage and pre-computation to…
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2013
2013
Multivariate time-space harmonic polynomials: a symbolic approach
E. Nardo
,
I. Oliva
2013
Corpus ID: 73619876
By means of a symbolic method, in this paper we introduce a new family of multivariate polynomials such that multivariate L\'evy…
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2009
2009
Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions
Guoshuang Pan
2009
Corpus ID: 115161560
There are ten chapters in this dissertation, which focuses on nine contents: growth estimates for a class of subharmonic…
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2009
2009
Representation of Regional Gravity Fields by Radial Base Functions
M. Antoni
,
W. Keller
,
M. Weigelt
2009
Corpus ID: 115763316
The research aims at an investigation of the optimal choice of local base functions, to derive a regional solution of the gravity…
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2008
2008
Superharmonic Perturbations of a Gaussian Measure, Equilibrium Measures and Orthogonal Polynomials
F. Balogh
,
J. Harnad
2008
Corpus ID: 14261177
Abstract.This work concerns superharmonic perturbations of a Gaussian measure given by a special class of positive weights in the…
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2006
2006
On Harmonic Polynomial Interpolation
V. Zakharyuta
2006
Corpus ID: 118319930
We show here that the methods of Lh-potential theory, developed in [Z1, Z5, Z6], are applicable to the problem of interpolation…
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1988
1988
On classification of quadratic harmonic maps of $S^3$
G. Tóth
1988
Corpus ID: 122784172
By the generalized Do Carmo-Wallach classification theorem polynomial harmonic maps between spheres can be parametrized by a…
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1971
1971
Value distribution of harmonic polynomials in several real variables.
M. Marden
1971
Corpus ID: 53992241
. Using Bergman's integral operator method, the author studies an arbitrary axisymmetric harmonic polynomial H(x, p) in R3 and R…
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