On the location of roots of the characteristic polynomial of \((p, q)\)-distance Fibonacci sequences

DOI10.1007/s00574-022-00301-zzbMath1502.11030OpenAlexW4283361374MaRDI QIDQ2091185

Pavel Trojovský, Diego Marques

Publication date: 31 October 2022

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-022-00301-z

zbMATH Keywords

characteristic polynomialRouché's theoremEneström-Kakeya theoremlinear recurrence sequencegeneralized Fibonacci sequenceDescartes' sign rule

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Linear forms in logarithms and applications
• On a four-parameter generalization of some special sequences
• On a new type of distance Fibonacci numbers
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• On the characteristic polynomial of \((k,p)\)-Fibonacci sequence
• THE DISTRIBUTION OF ROOTS OF A POLYNOMIAL
• On Sums Involving Binomial Coefficients
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