Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Kar08}
\by V.~V.~Karachik
\paper On an Expansion of Almansi Type
\jour Mat. Zametki
\yr 2008
\vol 83
\issue 3
\pages 370--380
\mathnet{http://mi.mathnet.ru/mzm4525}
\crossref{https://doi.org/10.4213/mzm4525}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2423536}
\zmath{https://zbmath.org/?q=an:1152.35351}
\transl
\jour Math. Notes
\yr 2008
\vol 83
\issue 3
\pages 335--344
\crossref{https://doi.org/10.1134/S000143460803005X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000255998600005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-43749100922}
Linking options:
  • https://www.mathnet.ru/eng/mzm4525
  • https://doi.org/10.4213/mzm4525
  • https://www.mathnet.ru/eng/mzm/v83/i3/p370
    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:600
    Full-text PDF :212
    References:38
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024