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A family of univalent polynomials in an angular domain

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Abstract

We study the properties of symmetric polynomials of a particular form and use them to find a maximal angular domain of univalence for some family of polynomials.

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References

  1. Chakalov L., “Maximal domains of univalence for some classes of analytic functions,” Ukrain. Mat. Zh., No. 4, 326–331 (1959).

  2. Duren P. L., Univalent Functions, Springer-Verlag, New York; Berlin; Heidenberg; Tokyo (1983) (Grundlehren der mathematischen Wissenschaften; 259).

    MATH  Google Scholar 

  3. Aksent’ev L. A., “Sufficient criterions for univalence of regular functions,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 3, 3–7 (1958).

  4. Todorov P. G., “Poles and radius of univalence for a meromorphic class of functions,” Dokl. Akad. Nauk SSSR, 168, No. 4, 532–534 (1966).

    MathSciNet  Google Scholar 

  5. Distler R. J., “The domain of univalence of certain classes of meromorphic functions,” Proc. Amer. Math. Soc., 15, No. 6, 923–928 (1964).

    Article  MATH  MathSciNet  Google Scholar 

  6. Kir’yatskiĭ E. G., “Some properties of functions with separated difference other than zero,” Litovsk. Mat. Sb., 12, No. 2, 43–55 (1972).

    MathSciNet  Google Scholar 

  7. Kir’yatskiĭ E. E. and Kir’yatskiĭ E. G., “The maximal Kn-domain of a family of rational functions,” Math. Notes, 76, No. 2, 183–190 (2004).

    Article  Google Scholar 

  8. Demidovich V. B. and Maron I. A., Fundamentals of Computational Mathematics [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  9. Markushevich A. I., The Theory of Analytic Functions [in Russian], Gostekhizdat, Moscow; Leningrad (1959).

    Google Scholar 

  10. Aleksandrov I. A., Theory of Functions of Complex Variable [in Russian], Izdat. Tomsk Univ., Tomsk (2002).

    Google Scholar 

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Authors and Affiliations

  1. Vilnius Gediminas Technical University, Vilnius, Lithuania

    E. G. Kir’yatskiĭ

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  1. E. G. Kir’yatskiĭ
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Correspondence to E. G. Kir’yatskiĭ.

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Original Russian Text Copyright © 2009 Kir’yatskiĭ E. G.

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Vilnius. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 3, pp. 573–586, May–June, 2009.

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Kir’yatskiĭ, E.G. A family of univalent polynomials in an angular domain. Sib Math J 50, 456–466 (2009). https://doi.org/10.1007/s11202-009-0051-2

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  • DOI: https://doi.org/10.1007/s11202-009-0051-2

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