Skip to main content
Log in

Planar algebraic curves with the group of symmetries of a regularr-gon

  • Published:
Journal of Mathematical Sciences Aims and scope Submit manuscript

Abstract

Generators of rings of special invariants of groups of symmetries of [r] regular r-gons are found. The results obtained can be useful in the theory of harmonic polynomials.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. G. B. Dwight, Tables of Integrals and Other Mathematical Formulas [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  2. V. F. Ignatenko, “On algebraic surfaces with the group of symmetries of the polygon 421,” Ukr. Geometr. Sb., No. 26, 48–55 (1983).

    Google Scholar 

  3. V. F. Ignatenko, “On planar algebraic curves with axes of symmetry,” Ukr. Geometr. Sb., No. 21, 31–33 (1987).

    Google Scholar 

  4. V. F. Ignatenko, “On the general equation of a planar algebraic curve with axes of symmetry,” Dinamicheskie Sistemy, No. 3, 104–106 (1987).

    Google Scholar 

  5. V. A. Ternovskii, “On two classes of planar algebraic curves with axes of symmetry,” Ukr. Geometr. Sb., No.27, 116–118 (1984).

    Google Scholar 

  6. V. A. Ternovskii, “Special invariants of the groups[N], F4, andE6,” All Union School on the Theory of Functions, Kemerovo, Kemerov University (1983).

    Google Scholar 

  7. J. L. Walsh, “A mean value theorem for polynomials and harmonic polynomials,” Bull. Am. Math. Soc,42, No.12, 923–930 (1936).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Dinamicheskie Sistemy, No. 9, pp. 132–135, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ternovskii, V.A. Planar algebraic curves with the group of symmetries of a regularr-gon. J Math Sci 70, 2055–2057 (1994). https://doi.org/10.1007/BF02110841

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02110841

Keywords

Navigation