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Matematicheskie Zametki, 2023, Volume 114, Issue 6, Pages 808–821
DOI: https://doi.org/10.4213/mzm14114 (Mi mzm14114) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Explicit Formulas for Differentiation of Hyperelliptic Functions

E. Yu. Bunkovaa, V. M. Buchstabera

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (603 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm14114
Abstract: The paper provides an explicit solution to the well-known problem of differentiation of hyperelliptic functions with respect to parameters of the corresponding hyperelliptic curve.
Keywords: sigma function, generators of the field of hyperelliptic functions, heat equation, Schrödinger equation, nonholonomic frame, Lie algebra of differential operators.
Received: 28.07.2023
English version:
Mathematical Notes, 2023, Volume 114, Issue 6, Pages 1151–1162
DOI: https://doi.org/10.1134/S0001434623110470
Bibliographic databases:
Document Type: Article
UDC: 517.588
Language: Russian
Citation: E. Yu. Bunkova, V. M. Buchstaber, “Explicit Formulas for Differentiation of Hyperelliptic Functions”, Mat. Zametki, 114:6 (2023), 808–821; Math. Notes, 114:6 (2023), 1151–1162
Citation in format AMSBIB
\Bibitem{BunBuc23}
\by E.~Yu.~Bunkova, V.~M.~Buchstaber
\paper Explicit Formulas for Differentiation of Hyperelliptic Functions
\jour Mat. Zametki
\yr 2023
\vol 114
\issue 6
\pages 808--821
\mathnet{http://mi.mathnet.ru/mzm14114}
\crossref{https://doi.org/10.4213/mzm14114}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4716490}
\transl
\jour Math. Notes
\yr 2023
\vol 114
\issue 6
\pages 1151--1162
\crossref{https://doi.org/10.1134/S0001434623110470}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85185869709}
Linking options:
  • https://www.mathnet.ru/eng/mzm14114
  • https://doi.org/10.4213/mzm14114
  • https://www.mathnet.ru/eng/mzm/v114/i6/p808
    • This publication is cited in the following 2 articles:
    1. V. M. Buchstaber, E. Yu. Bunkova, “Polynomial dynamical systems associated with the KdV hierarchy”, Part. Differ. Equ. in Appl. Math., 12 (2024), 100928–6  mathnet  crossref
    2. V. M. Buchstaber, E. Yu. Bunkova, “Formulas for Differentiating Hyperelliptic Functions with Respect to Parameters and Periods”, Proc. Steklov Inst. Math., 325 (2024), 60–73  mathnet  crossref  crossref  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:49
    First page:39
     
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