Dynamics of functions arising from Pisot and Salem polynomials

DOI10.1007/s11784-014-0167-2zbMath1358.37084OpenAlexW1989186709MaRDI QIDQ499960

Somjate Chaiya, Aimo Hinkkanen

Publication date: 7 October 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-014-0167-2

zbMATH Keywords

polynomialsSalem numberscomplex dynamics

Mathematics Subject Classification ID

Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small Salem numbers
• Location of the critical points of certain polynomials
• Immediate and virtual basins of Newton's method for entire functions.
• Power series with integral coefficients
• A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
• Algebraic integers whose conjugates lie in the unit circle
• Note on the location of zeros of the derivative of a rational function whose zeros and poles are symmetric in a circle

This page was built for publication: Dynamics of functions arising from Pisot and Salem polynomials