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Matematicheskie Zametki, 2014, Volume 96, Issue 2, Pages 228–238
DOI: https://doi.org/10.4213/mzm10114 (Mi mzm10114) 		 
This article is cited in 22 scientific papers (total in 22 papers)

On the Arithmetic Triangle Arising from the Solvability Conditions for the Neumann Problem

V. V. Karachik

South Ural State University, Chelyabinsk
Full-text PDF (464 kB) Citations (22)
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DOI: https://doi.org/10.4213/mzm10114
Abstract: We study the arithmetic triangle arising from the solvability conditions for the Neumann problem for the polyharmonic equation in the unit ball. Recurrence relations for the elements of this triangle are obtained.
Keywords: Neumann problem, polyharmonic equation, arithmetic triangle, Vandermond determinant.
Received: 04.07.2012
Revised: 12.08.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 2, Pages 217–227
DOI: https://doi.org/10.1134/S0001434614070232
Bibliographic databases:
Document Type: Article
UDC: 512.643.2+517.953
Language: Russian
Citation: V. V. Karachik, “On the Arithmetic Triangle Arising from the Solvability Conditions for the Neumann Problem”, Mat. Zametki, 96:2 (2014), 228–238; Math. Notes, 96:2 (2014), 217–227
Citation in format AMSBIB
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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