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.
CITATION STYLE
Boussayoud, A., Boughaba, S., Kerada, M., Araci, S., & Acikgoz, M. (2019). Generating functions of binary products of k-Fibonacci and orthogonal polynomials. Revista de La Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas, 113(3), 2575–2586. https://doi.org/10.1007/s13398-019-00641-4
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