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This article is cited in 27 scientific papers (total in 27 papers)
On an Expansion of Almansi Type
V. V. Karachik South Ural State University
Abstract:
We obtain an expansion of Almansi type for functions satisfying the equation Δmλu=0, where Δλ=λ1∂2/∂x21+⋯+λn∂2/∂x2n and λk≠0.
Keywords:
Almansi expansion, polyharmonic function, normalized system of functions, Laplace operator.
Received: 18.11.2006 Revised: 04.04.2007
Citation:
V. V. Karachik, “On an Expansion of Almansi Type”, Mat. Zametki, 83:3 (2008), 370–380; Math. Notes, 83:3 (2008), 335–344
Linking options:
https://www.mathnet.ru/eng/mzm4525https://doi.org/10.4213/mzm4525 https://www.mathnet.ru/eng/mzm/v83/i3/p370
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Recent citations
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Abstract page: | 635 | Full-text PDF : | 241 | References: | 44 | First page: | 7 |
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