Symmetric functions of the k-Fibonacci and k-Lucas numbers

DOI10.1142/S1793557121500315zbMath1458.05254OpenAlexW3005521957MaRDI QIDQ4985467

Mohamed Kerada, Serkan Araci, Ali Boussayoud, Mehmet Acikgoz

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557121500315

zbMATH Keywords

generating functionsFibonacci polynomials\(k\)-Fibonacci numbers\(k\)-Lucas numbers

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Cites Work

• Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
• Incomplete Fibonacci and Lucas \(p\)-numbers
• On the generating functions of Mersenne and Fermat primes
• On \(k\)-Fibonacci sequences and polynomials and their derivatives
• Incomplete generalized Jacobsthal and Jacobsthal-Lucas numbers
• Generalization of the Euler transformation of a formal series
• A class of numbers associated with the Lucas numbers
• Partition analysis and symmetrizing operators
• Incomplete Fibonacci and Lucas numbers
• A generalization of the symmetry between complete and elementary symmetric functions
• Generating functions for powers of a certain generalized sequence of numbers
• Generalization of some hypergeometric functions
• On the Fibonacci \(k\)-numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Some results on the q-analogues of the incomplete Fibonacci and Lucas Polynomials
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