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Ukrainian Mathematical Journal

, Volume 70, Issue 8, pp 1326–1330 | Cite as

On the Asymptotics of Associated Sigma-Functions and Jacobi Theta-Functions

  • M. E. Korenkov
  • Yu. I. Kharkevych
Article
  • 3 Downloads

For the associated sigma-functions, Jacobi theta-functions, and their logarithmic derivatives, we present asymptotic formulas valid outside the efficiently constructed exceptional sets of disks.

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References

  1. 1.
    N. E. Korenkov, “Asymptotic properties of the Weierstrass sigma-functions and the Jacobi theta-functions,” Ukr. Mat. Zh., 41, No. 5, 707–710 (1989); English translation: Ukr. Math. J., 41, No. 5, 612–614 (1989).Google Scholar
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    A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 2, Nauka, Moscow (1968).Google Scholar
  3. 3.
    J. Zając, M. E. Korenkov, and Yu. I. Kharkevych, “On the asymptotics of some Weierstrass functions,” Ukr. Mat. Zh., 67, No. 1, 135–138 (2015); English translation: Ukr. Math. J., 67, No. 1, 154–158 (2015).Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • M. E. Korenkov
    • 1
  • Yu. I. Kharkevych
    • 1
  1. 1.L. Ukrainka Eastern European National UniversityLuts’kUkraine

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