Acta Mathematica Hungarica

, Volume 157, Issue 1, pp 54–62 | Cite as

On the behavior of roots of trinomial equations

  • V. BottaEmail author
  • J. V. da Silva


The main purpose of this paper is to investigate the distribution, simplicity and monotonicity of the roots of a class of trinomial equations that appears in certain financial mathematics problems. Furthermore, we show that it is possible to decompose some classes of trinomial equations into polynomials generated by a three term recurrence relation.

Key words and phrases

root trinomial equation financial mathematics 

Mathematics Subject Classification

primary 12D10 secondary 30C15 97M30 


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We thank the referee for providing us with constructive comments and suggestions.


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2018

Authors and Affiliations

  1. 1.Departamento de Matemática e ComputaçãoUniversidade Estadual Paulista – UNESP, FCTPresidente PrudenteBrazil

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