Easy Differentiation and Integration of Homogeneous Harmonic Polynomials

  • We will give explicit differentiation and integration rules for homogeneous harmonic polynomial polynomials and spherical harmonics in IR^3 with respect to the following differential operators: partial_1, partial_2, partial_3, x_3 partial_2 - x_2 partial_3, x_3 partial_1 - x_1 partial_3, x_2 partial_1 - x_1 partial_2 and x_1 partial_1 + x_2 partial_2 + x_3 partial_3. A numerical application to the problem of determining the geopotential field will be shown.

Export metadata

  • Export Bibtex
  • Export RIS

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Frank Bauer
URN (permanent link):urn:nbn:de:hbz:386-kluedo-14018
Serie (Series number):Schriften zur Funktionalanalysis und Geomathematik (24)
Document Type:Preprint
Language of publication:English
Year of Completion:2005
Year of Publication:2005
Publishing Institute:Technische Universität Kaiserslautern
Tag:Derivatives; Spherical Harmonics
GND-Keyword:Kugelflächenfunktion ; Richtungsableitung
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:510 Mathematik
MSC-Classification (mathematics):33C55 Spherical harmonics

$Rev: 12793 $