Generalized disk polynomial via Laplace integral representation

DOI10.1080/10652469.2014.965703zbMath1306.31004OpenAlexW2044788908MaRDI QIDQ5498524

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Publication date: 9 February 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2014.965703

zbMATH Keywords

solid harmonicsLaplace integral representationpolynomials in \(z\) and \(\overline z\)

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace transform (44A10) Spherical harmonics (33C55)

Cites Work

• Spherical harmonics and approximations on the unit sphere. An introduction
• Generalized Zernike or disc polynomials
• Annihilating properties of convolution operators on complex spheres
• Orthogonal Function Series Expansions and the Null Space of the Radon Transform
• Zonai harmonic functions from two dimensional analogs of jacobi polynomials
• The Addition Formula for Jacobi Polynomials and Spherical Harmonics
• Beugungstheorie des schneidenver-fahrens und seiner verbesserten form, der phasenkontrastmethode
• A Generalization of the Radial Polynomials of F. Zernike

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