Skip to main content
Log in

On a conjecture of Sendov about the critical points of a polynomial

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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.

References

  1. Alexander, J.W.: Functions which map the interior of the unit circle upon simple regions. Ann. of Math.17, 12–22 (1915)

    Google Scholar 

  2. Goodman, A.W., Rahman, Q.I., Ratti, J.S.: On the zeros of a polynomial and its derivative. Proc. Am. Math. Soc.21, 273–274 (1969)

    Google Scholar 

  3. Hayman, W.K.: Research problems in function theory. London: Athlone Press 1967

    Google Scholar 

  4. Joyal, A.: On the zeros of a polynomial and its derivative. J. Math. Anal. Appl.26, 315–317 (1969)

    Google Scholar 

  5. Kakeya, S.: On zeros of a polynomial and its derivative. Tôhoku Math. J.11, 5–16 (1917)

    Google Scholar 

  6. Marden, M.: Conjectures on the critical points of a polynomial. Am. Math. Monthly.90, 267–276 (1983)

    Google Scholar 

  7. Meir, A., Sharma, A.: On Ilyeff's conjecture Pac. J. Math.31, 459–467 (1969)

    Google Scholar 

  8. Rubinstein, Z.: On a problem of Ilyeff. Pac. J. Math.26, 159–161 (1968)

    Google Scholar 

  9. Schmeisser, G.: Bemerkungen zu einer Vermutung von Ilieff. Math. Z.111, 121–125 (1969)

    Google Scholar 

  10. Schmeisser, G.: Zur Lage der kritischen Punkte eines Polynoms. Rend. Semin. Mat. Univ. Padova.46, 405–415 (1971)

    Google Scholar 

  11. Schmeisser, G.: On Ilieff's conjecture. Math. Z.156, 165–173 (1977)

    Google Scholar 

  12. Szegö, G.: Bemerkungen zu einem Satz von J.H. Grace über die Wurzeln algebraischer Gleichungen. Math. Z.13, 28–55 (1922)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bojanov, B.D., Rahman, Q.I. & Szynal, J. On a conjecture of Sendov about the critical points of a polynomial. Math Z 190, 281–285 (1985). https://doi.org/10.1007/BF01160464

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01160464

Navigation