Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Siberian Federal University. Mathematics & Physics, 2012, Volume 5, Issue 2, Pages 230–238 (Mi jsfu235)  
This article is cited in 1 scientific paper (total in 1 paper)

Certain formulas for solutions to trinomial and tetranomial algebraic equations

Evgeny N. Mikhalkin

Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
Full-text PDF (177 kB) Citations (1)
References:
PDF
HTML
Abstract: Algebraic equations with one and two parameters are considered. We prove that solutions to such equations can be represented as linear combination of generalized hypergeometric series. This result allows to express (nonlinearly) solutions to cubic and quartic equations by Gauss hypergeometric series.
Keywords: algebraic equation, Gauss hypergeometric series, generalized hypergeometric series.
Received: 15.09.2011
Received in revised form: 30.10.2011
Accepted: 30.12.2011
Document Type: Article
UDC: 517.55+517.588
Language: Russian
Citation: Evgeny N. Mikhalkin, “Certain formulas for solutions to trinomial and tetranomial algebraic equations”, J. Sib. Fed. Univ. Math. Phys., 5:2 (2012), 230–238
Citation in format AMSBIB
\Bibitem{Mik12}
\by Evgeny~N.~Mikhalkin
\paper Certain formulas for solutions to trinomial and tetranomial algebraic equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2012
\vol 5
\issue 2
\pages 230--238
\mathnet{http://mi.mathnet.ru/jsfu235}
Linking options:
  • https://www.mathnet.ru/eng/jsfu235
  • https://www.mathnet.ru/eng/jsfu/v5/i2/p230
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:721
    Full-text PDF :234
    References:84
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024