On the size of roots of a family of polynomials related to linear recurrence sequences

DOI10.1007/s11139-022-00691-0OpenAlexW4317790573MaRDI QIDQ6171149

Pavel Trojovský, Diego Marques

Publication date: 17 July 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00691-0

zbMATH Keywords

rootspolynomialsinversioncomplex variablerecurrence sequences

Mathematics Subject Classification ID

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

Cites Work

• The golden section in measurement theory
• The Binet formula, sums and representations of generalized Fibonacci \(p\)-numbers
• On the characteristic polynomial of \((k,p)\)-Fibonacci sequence
• On characteristic polynomial of higher order generalized Jacobsthal numbers
• On $k$-generalized Fibonacci numbers with negative indices
• A simplified Binet formula for k-generalized Fibonacci numbers
• On Generalized Fibonacci Numbers
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