Open AccessGenerating functions of binary products of k-Fibonacci and orthogonal polynomials
Author(s) -
Ali Boussayoud,
Souhila Boughaba,
Mohamed Kerada,
Serkan Aracı,
Mehmet Açıkgöz
Publication year - 2019
Publication title -
revista de la real academia de ciencias exactas físicas y naturales serie a matemáticas
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.838
H-Index - 23
eISSN - 1579-1505
pISSN - 1578-7303
DOI - 10.1007/s13398-019-00641-4
Subject(s) - fibonacci number , fibonacci polynomials , orthogonal polynomials , mathematics , operator (biology) , binary number , classical orthogonal polynomials , combinatorics , order (exchange) , discrete mathematics , arithmetic , chemistry , biochemistry , finance , economics , gene , repressor , transcription factor
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.
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