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A Note on Fibonacci-Type Polynomials

Veröffentlicht/Copyright: 19. März 2010
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Integers
Aus der Zeitschrift Band 10 Heft 1

Abstract

We opt to study the convergence of maximal real roots of certain Fibonacci-type polynomials given by Gn = xkGn– 1 + Gn– 2. The special cases k = 1 and k = 2 were done by Moore, and Zeleke and Molina, respectively.

Keywords.: Fibonacci-type polynomials; maximal real roots
Received: 2009-01-24
Revised: 2009-10-29
Accepted: 2009-11-09
Published Online: 2010-03-19
Published in Print: 2010-March

© de Gruyter 2010

Artikel in diesem Heft

  1. Congruences for Hyper m-ary Overpartition Functions
  2. A Note on Fibonacci-Type Polynomials
  3. Non-Regularity of ⌊α + logk n⌋
  4. Lerch's Theorems over Function Fields
  5. On Normal Numbers and Powers of Algebraic Numbers
  6. Volume as a Measure of Approximation for the Jacobi–Perron Algorithm
  7. Combinatorics of Integer Partitions in Arithmetic Progression
  8. Analogues of Jacobi's Two-Square Theorem: An Informal Account
  9. Convolution Identities for Stirling Numbers of the First Kind
  10. Pattern Occurrence in the Dyadic Expansion of Square Root of Two and an Analysis of Pseudorandom Number Generators
  11. Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns
  12. A Multivariate Arithmetic Function of Combinatorial and Topological Significance
https://doi.org/10.1515/integ.2010.002
Schlagwörter für diesen Artikel
Fibonacci-type polynomials; maximal real roots

Artikel in diesem Heft

  1. Congruences for Hyper m-ary Overpartition Functions
  2. A Note on Fibonacci-Type Polynomials
  3. Non-Regularity of ⌊α + logk n⌋
  4. Lerch's Theorems over Function Fields
  5. On Normal Numbers and Powers of Algebraic Numbers
  6. Volume as a Measure of Approximation for the Jacobi–Perron Algorithm
  7. Combinatorics of Integer Partitions in Arithmetic Progression
  8. Analogues of Jacobi's Two-Square Theorem: An Informal Account
  9. Convolution Identities for Stirling Numbers of the First Kind
  10. Pattern Occurrence in the Dyadic Expansion of Square Root of Two and an Analysis of Pseudorandom Number Generators
  11. Place-Difference-Value Patterns: A Generalization of Generalized Permutation and Word Patterns
  12. A Multivariate Arithmetic Function of Combinatorial and Topological Significance
Heruntergeladen am 26.4.2026 von https://www.degruyterbrill.com/document/doi/10.1515/integ.2010.002/html?lang=de
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