The resultant, the discriminant, and the derivative of generalized Fibonacci polynomials

zbMath1418.11030arXiv1808.01264MaRDI QIDQ5226856

Rigoberto Flórez, Robinson A. Higuita, Alexander Ramírez

Publication date: 2 August 2019

Full work available at URL: https://arxiv.org/abs/1808.01264

zbMATH Keywords

derivativediscriminantresultantpolynomial sequenceFibonacci polynomialLucas polynomial

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (1)

Irreducibility of generalized Fibonacci polynomials

Uses Software

• OEIS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• Resultants of Chebyshev Polynomials: A Short Proof
• The Resultant of Chebyshev Polynomials
• The on-line encyclopedia of integer sequences
• Cyclotomic polynomials at roots of unity
• Star of David and other patterns in the Hosoya-like polynomials triangles
• Resultants and discriminants of Chebyshev and related polynomials
• Some results on convolved (p,q)-Fibonacci polynomials
• Resultants of Chebyshev Polynomials: the First, Second, Third, and Fourth Kinds
• Identities for the generalized Fibonacci polynomial
• Characterization of the strong divisibility property for generalized Fibonacci polynomials
• Resultants of Cyclotomic Polynomials
• Algorithms in real algebraic geometry

This page was built for publication: The resultant, the discriminant, and the derivative of generalized Fibonacci polynomials