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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 2, Pages 365–371 (Mi smj862)  
This article is cited in 14 scientific papers (total in 14 papers)

On solving general algebraic equations by integrals of elementary functions

E. N. Mikhalkin

Krasnoyarsk State University
Full-text PDF (177 kB) Citations (14)
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Abstract: We obtain an integral formula for a solution to a general algebraic equation. In this formula the integrand is an elementary function and integration is carried out over an interval. The advantage of this formula over the well-known Mellin formula is that the integral has a broader convergence domain. This circumstance makes it possible to describe the monodromy of a solution for trinomial equations.
Keywords: algebraic equation, integral representation, hypergeometric function.
Received: 19.02.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 2, Pages 301–306
DOI: https://doi.org/10.1007/s11202-006-0043-4
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: E. N. Mikhalkin, “On solving general algebraic equations by integrals of elementary functions”, Sibirsk. Mat. Zh., 47:2 (2006), 365–371; Siberian Math. J., 47:2 (2006), 301–306
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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