Spherical harmonics
In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations in many scientific fields. A specific set of spherical harmonics, denoted or , are known as Laplace's spherical harmonics, as they were first introduced by Pierre Simon de Laplace in 1782. These functions form an orthogonal system, and are thus basic to the expansion of a general function on the sphere as alluded to above.
Laplace SeriesLaplace seriesSectorial harmonicsSectorial spherical harmonicsSpherical HarmonicsSpherical functionsSpherical harmonicSpherical harmonic functionSpherical harmonics functionSpherical harmonySpheroidal HarmonicsSpheroidal functionSpheroidal harmonicsTesseral harmonicsTesseral spherical harmonicsYlm
Wikipage redirect
3-j symbol3D rotation groupAddition theoremAlbrecht UnsöldAlfred ClebschAlfred TauberAmbisonic data exchange formatsAmbisonicsAngular momentum operatorAnnie Leuch-ReineckAssociated Legendre polynomialsAsteroseismologyAtmospheric waveAtomic orbitalAzimuthal quantum numberBateman Manuscript ProjectBiological small-angle scatteringBondi–Metzner–Sachs groupCatherine AsaroChu–Harrington limitClassical field theoryClebsch–Gordan coefficientsCoRoTComparison of 3D computer graphics softwareConical functionCosmic microwave backgroundCosmic varianceCoulomb wave functionCubic harmonicCylindrical harmonicsDipoleDouble Fourier sphere methodE. W. HobsonEarth's magnetic fieldEarth Gravitational ModelEarth tideEduard HeineElectrically small antennaElectromagnetic wave equationElectron configuration
Link from a Wikipage to another Wikipage
known for
primaryTopic
Spherical harmonics
In mathematics and physical science, spherical harmonics are special functions defined on the surface of a sphere. They are often employed in solving partial differential equations in many scientific fields. A specific set of spherical harmonics, denoted or , are known as Laplace's spherical harmonics, as they were first introduced by Pierre Simon de Laplace in 1782. These functions form an orthogonal system, and are thus basic to the expansion of a general function on the sphere as alluded to above.
has abstract
De bolfuncties, sferisch harmo ...... ier waarop ze gebruikt worden.
@nl
Die Kugelflächenfunktionen sin ...... nd des Magnetfeldes verwendet.
@de
Em matemática e ciência física ...... acional como na eletrostática.
@pt
En klotytefunktion, klotytfunk ...... kolatitud respektive longitud.
@sv
En matemáticas, los armónicos ...... o como para la electrostática.
@es
En mathématiques, les harmoniq ...... ond diffus cosmologique), etc.
@fr
Harmoniki sferyczne (harmoniki ...... st stałą separacji tej metody.
@pl
In analisi matematica, le armo ...... ampo gravitazionale terrestre.
@it
In mathematics and physical sc ...... .) and modelling of 3D shapes.
@en
Sférické harmonické funkce jso ...... pro analýzu reliktního záření.
@cs
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,026,075,315
Link from a Wikipage to another Wikipage
b
+
@en
first
E.D.
@en
id
S/s086690
@en
last
Solomentsev
@en
p
k
@en
title
Spherical harmonics
@en
urlname
SphericalHarmonic
@en
wikiPageUsesTemplate
subject
type
comment
De bolfuncties, sferisch harmo ...... Pierre-Simon Laplace in 1782.
@nl
Die Kugelflächenfunktionen sin ...... olynome (Details siehe unten):
@de
Em matemática e ciência física ...... acional como na eletrostática.
@pt
En klotytefunktion, klotytfunk ...... n associerad Legendrefunktion:
@sv
En matemáticas, los armónicos ...... o como para la electrostática.
@es
En mathématiques, les harmoniq ...... (2 l + 1) fonctions : , avec .
@fr
Harmoniki sferyczne (harmoniki ...... tości dyskretne takie że gdzie
@pl
In analisi matematica, le armo ...... dard di riferimento del WGS84.
@it
In mathematics and physical sc ...... he sphere as alluded to above.
@en
Sférické harmonické funkce jso ...... pro analýzu reliktního záření.
@cs
label
Armoniche sferiche
@it
Armónicos esféricos
@es
Bolfunctie
@nl
Harmoniki sferyczne
@pl
Harmonique sphérique
@fr
Harmônicos esféricos
@pt
Klotytefunktion
@sv
Kugelflächenfunktionen
@de
Sférické harmonické funkce
@cs
Spherical harmonics
@en