3. Homogenous polynomials and spherical harmonics (original) (raw)

Certain Properties of Functions Harmonic within a Sphere

Ernest Miles

Proceedings of the American Mathematical Society, 1951

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The coordinate-free approach to spherical harmonics

Miguel Perez-Saborid

2008

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Spherical functions associated with the three-dimensional sphere

Juan Tirao

Annali di Matematica Pura ed Applicata (1923 -), 2013

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A new basis for eigenmodes on the sphere

Marc Lachièze-Rey

Journal of Physics A: Mathematical and General, 2004

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Spherical Harmonic on a Four Sphere

ASLOOB RATHER

Applied Mathematics and Physics, 2014

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Orthogonal polynomials on the sphere with octahedral symmetry

Charles Dunkl

Transactions of the American Mathematical Society, 1984

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On hyperspherical associated Legendre functions: the extension of spherical harmonics to NNN dimensions

Luís Campos

2020

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Conjugate Harmonic Functions in Euclidean Space: a Spherical Approach

Fred Brackx

Computational Methods and Function Theory, 2006

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Notes on Spherical Harmonics and Linear Representations of Lie Groups

Jean Gallier

2009

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Some integral identities for spherical harmonics in an arbitrary dimension

Kendall Atkinson

Journal of Mathematical Chemistry, 2011

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A Basic Set of Homogeneous Harmonic Polynomials in k Variables

Ernest Miles

Proceedings of the American Mathematical Society, 1955

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Harmonic functions associated with some polynomials in several variables

rabia aktas

TURKISH JOURNAL OF MATHEMATICS

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Reflection groups and orthogonal polynomials on the sphere

Charles Dunkl

Mathematische Zeitschrift, 1988

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Symmetric functions and B N -invariant spherical harmonics

Charles Dunkl

Journal of Physics A: Mathematical and General, 2002

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Matrix spherical functions and orthogonal polynomials: An instructive example

Inés Pacharoni

Revista De La Union Matematica Argentina, 2008

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Polynomials and High-Dimensional Spheres

Ambar Sengupta

arXiv (Cornell University), 2019

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New recurrence relations for spherical harmonic functions and their derivatives

Denis Winch

Physics of the Earth and Planetary Interiors, 1968

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Operators and harmonic analysis on the sphere

Charles Dunkl

Transactions of the American Mathematical Society, 1966

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Novel integral representations for harmonic functions in the interior of a sphere

George Dassios

2009

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Spherical harmonics involving the vanishing conjecture

Dang Giang

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The Triangular Properties of Associated Legendre Functions Using The Vectorial Addition Theorem For Spherical Harmonics

Rami Mehrem

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A Sequence of Matrix Valued Orthogonal Polynomials Associated to Spherical Functions

Inés Pacharoni

Constructive Approximation, 2007

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Laplace's equation in spherical coordinates and Legendre's equation (I)

James Foadi

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Generalized Spherical Harmonics for l=2

Lister Mulindwa

Eprint Arxiv Quant Ph 0503059, 2005

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Spherical Harmonics and Linear Representations of Lie Groups

Jean Gallier

Differential Geometry and Lie Groups

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On Potential Theory and HS of Harmonic Functions

Fernando Sansò

Lecture Notes in Earth System Sciences, 2012

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Fractal Spherical Harmonics

María Navascués

International Journal of Analysis, 2013

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Some properties of the coupling coefficients of real spherical harmonics and their relation to Gaunt coefficients

Herbert H H Homeier

Journal of Molecular Structure: THEOCHEM, 1996

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Connection Formulae between Ellipsoidal and Spherical Harmonics with Applications to Fluid Dynamics and Electromagnetic Scattering

Michael Doschoris

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A new hypergeometric identity linking coefficients of a certain class of homogeneous polynomials motivated from magnetohydrodynamics

Glenn Ierley

Advances in Applied Mathematics, 2009

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Localized Linear Polynomial Operators and Quadrature Formulas on the Sphere

H. Mhaskar, Q. Le Gia

SIAM Journal on Numerical Analysis, 2009

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On some consequences of the Laplacian’s singularity at the origin in spherical coordinates

Teimuraz Nadareishvili

European Journal of Physics, 2014

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Orthogonal Bases for Spaces of Complex Spherical Harmonics

Claudemir Oliveira

Journal of Applied Analysis, 2005

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Laplacian eigenmodes for the three-sphere

Marc Lachièze-Rey

Journal of Physics A: Mathematical and General, 2004

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Corrigendum to: On Harmonic Potential Fields and the Structure of Monogenic Functions, Z. Anal. Anw. 22 (2003)(2), 261-27

Fred Brackx

Zeitschrift für Analysis und ihre Anwendungen, 2006

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