The convergence of the Pizzetti series in potential theory

DOI10.1016/0022-247X(92)90362-HzbMath0770.31002MaRDI QIDQ1206984

Ülkü Kuran, David H. Armitage

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

radius of convergencePizzetti series

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Power series (including lacunary series) in one complex variable (30B10)

Related Items

The Laplacian and Mean and Extreme Values ⋮ Pizzetti series and polyharmonicity associated with the Dunkl Laplacian ⋮ Martin integral representation for nonharmonic functions and discrete co-Pizzetti series ⋮ An extension of Pizzetti's formula associated with the Dunkl operators ⋮ Pizzetti's formula for H-type groups

Cites Work

• On the largest ball of harmonic continuation
• On the eigenvalues in problems with spherical symmetry. II
• On means of subharmonic functions
• On Brelot-Choquet Axial Polynomials
• Classical potential theory and its probabilistic counterpart.
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