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Numerical-analytical method for conformal mapping of polygons with six right angles

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Abstract

A numerical-analytical method for conformal mapping of a rectangular nonagon onto the upper half-plane is proposed. Numerical results are presented.

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References

  1. A. Bogatyrev, M. Hassner, and D. Yarmolich, “An exact-analytical expression for the read sensor signal in magnetic data storage channels,” Contemp. Math. 528, 155–160 (2010).

    Article  MathSciNet  Google Scholar 

  2. A. B. Bogatyrev, “Conformal mapping of rectangular heptagons,” Sb. Math. 203, 1715–1735 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  3. B. Deconinck, M. Heil, A. I. Bobenko, M. van Hoeij, and M. Schmics, “Computing Riemann theta functions,” Math. Comput. 73, 1417–1442 (2004).

    Article  MATH  Google Scholar 

  4. M. A. Lavrent’ev and B. V. Shabat, Methods of the Theory of Functions of Complex Variables (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  5. H. M. Farkas and I. Kra, Riemann Surfaces (Springer, Berlin, 1980).

    Book  MATH  Google Scholar 

  6. D. Mumford, Tata Lectures on Theta (Birkhäuser, Boston, 1983).

    Book  MATH  Google Scholar 

  7. J. M. Ortega, and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic, New York, 1970).

    MATH  Google Scholar 

  8. Ph. Griffiths and J. Harris, Principles of Algebraic Geometry (Wiley, New York, 1978).

    MATH  Google Scholar 

  9. M. Bertola, Riemann Surfaces and Theta Functions (Concordia Univ. Press, Quebec, 2006).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119333, Russia

    O. A. Grigor’ev

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  1. O. A. Grigor’ev
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Correspondence to O. A. Grigor’ev.

Additional information

Original Russian Text © O.A. Grigor’ev, 2013, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2013, Vol. 53, No. 10, pp. 1629–1638.

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Grigor’ev, O.A. Numerical-analytical method for conformal mapping of polygons with six right angles. Comput. Math. and Math. Phys. 53, 1447–1456 (2013). https://doi.org/10.1134/S0965542513100072

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  • DOI: https://doi.org/10.1134/S0965542513100072

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