Generating functions of binary products of k-Fibonacci and orthogonal polynomials

  • Ali BoussayoudEmail author
  • Souhila Boughaba
  • Mohamed Kerada
  • Serkan Araci
  • Mehmet Acikgoz
Original Paper


In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind. By making use of the new operator defined in this paper, we give some new generating functions for k-Fibonacci and k-Pell numbers and Fibonacci polynomials.


Symmetric functions Generating functions k-Fibonacci numbers k-Pell numbers 

Mathematics Subject Classification

05E05 11B39 



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Copyright information

© The Royal Academy of Sciences, Madrid 2019

Authors and Affiliations

  • Ali Boussayoud
    • 1
    Email author
  • Souhila Boughaba
    • 1
  • Mohamed Kerada
    • 1
  • Serkan Araci
    • 2
  • Mehmet Acikgoz
    • 3
  1. 1.LMAM Laboratory, Department of MathematicsMohamed Seddik Ben Yahia UniversityJijelAlgeria
  2. 2.Department of Economics, Faculty of Economics, Administrative and Social SciencesHasan Kalyoncu UniversityGaziantepTurkey
  3. 3.Department of Mathematics, Faculty of Arts and ScienceUniversity of GaziantepGaziantepTurkey

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