Around some extensions of Casas-Alvero conjecture for non-polynomial functions

Authors

  • A. Cima Departament de Matemàtiques, Universitat Autònoma de Barcelona Barcelona, Spain
  • A. Gasull Departament de Matemàtiques, Universitat Autònoma de Barcelona Barcelona, Spain
  • F. Mañosas Departament de Matemàtiques, Universitat Autònoma de Barcelona Barcelona, Spain

DOI:

https://doi.org/10.17398/2605-5686.35.2.221

Keywords:

polynomial, Casas-Alvero conjecture, zeroes of functions

Abstract

We show that two natural extensions of the real Casas-Alvero conjecture in the non-polynomial setting do not hold.

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References

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S. Yakubovich, Polynomial problems of the Casas-Alvero type, J. Class. Anal. 4 (2014), 97 – 120.

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Published

2020-12-01

Issue

Section

Real Functions and Measure Theory

How to Cite

Around some extensions of Casas-Alvero conjecture for non-polynomial functions. (2020). Extracta Mathematicae, 35(2), 221-228. https://doi.org/10.17398/2605-5686.35.2.221