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Matematicheskie Zametki, 2008, Volume 83, Issue 3, Pages 370–380
DOI: https://doi.org/10.4213/mzm4525 (Mi mzm4525) 		 
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
Full-text PDF (446 kB) Citations (27)
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DOI: https://doi.org/10.4213/mzm4525
Abstract: We obtain an expansion of Almansi type for functions satisfying the equation $\Delta_\lambda^mu=0$, where $\Delta_\lambda=\lambda_1\partial^2/\partial x_1^2+\dotsb+\lambda_n\partial^2/\partial x_n^2$ and $\lambda_k\ne0$.
Keywords: Almansi expansion, polyharmonic function, normalized system of functions, Laplace operator.
Received: 18.11.2006
Revised: 04.04.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 3, Pages 335–344
DOI: https://doi.org/10.1134/S000143460803005X
Bibliographic databases:
UDC: 517.956.22
Language: Russian
Citation: V. V. Karachik, “On an Expansion of Almansi Type”, Mat. Zametki, 83:3 (2008), 370–380; Math. Notes, 83:3 (2008), 335–344
Citation in format AMSBIB
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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