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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.
2017
2017
Conquering the pre-computation in two-dimensional harmonic polynomial transforms
Richard M. 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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2015
2015
On the harmonic index and harmonic polynomial of Caterpillars with diameter four
M. Iranmanesh
,
M. Saheli
2015
Corpus ID: 118739589
The harmonic index H(G) , of a graph G is defined as the sum of weights 2/(deg(u)+deg(v)) of all edges in E(G), where deg (u…
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2015
2015
Generalized HPC method for the Poisson equation
A. Bardazzi
,
C. Lugni
,
M. Antuono
,
G. Graziani
,
O. Faltinsen
J. Comput. Phys.
2015
Corpus ID: 28252739
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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Highly Cited
2002
Highly Cited
2002
On the number of zeros of certain harmonic polynomials
D. Khavinson
,
G. Swiatek
2002
Corpus ID: 13384766
Using techinques of complex dynamics we prove the conjecture of Sheil-Small and Wilmshurst that the harmonic polynomial z -p(z…
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2002
2002
Universal Overconvergence of Polynomial Expansions of Harmonic Functions
D. Armitage
J. Approx. Theory
2002
Corpus ID: 206567793
For each compact subset K of RN let H(K) denote the space of functions that are harmonic on some neighbourhood of K. The space H…
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Highly Cited
1998
Highly Cited
1998
The valence of harmonic polynomials
A. Wilmshurst
1998
Corpus ID: 117990570
The paper gives an upper bound for the valence of harmonic polynomials. An example is given to show that this bound is sharp…
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Review
1998
Review
1998
FBS Colloquium Hyperspherical-Harmonics Methods for Few-Body Problems
R. Krivec
1998
Corpus ID: 55133360
Abstract. A review of hyperspherical-harmonics (HH) methods from the standpoint of their applications is given. In the first…
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Highly Cited
1988
Highly Cited
1988
Another Report on Harmonic Maps
J. Eells
,
L. Lemaire
1988
Corpus ID: 121333822
(1.1) Some of the main results described in [Report] are the following (in rough terms; notations and precise references will be…
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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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