We obtain the "shifting property" and some other combinatorial identities for the bivariate Fibonacci polynomials (which generalize the Fibonacci, Pell, Jacobsthal, Chebyschev, Fermat, Morgav-Voyce polynomials and the Horadam numbers). In particular, we specialize all these identities to the Chebyshev polynomials of the second kind.

Shifting property and other binomial identities for the bivariate Fibonacci polynomials

E. Munarini
2018-01-01

Abstract

We obtain the "shifting property" and some other combinatorial identities for the bivariate Fibonacci polynomials (which generalize the Fibonacci, Pell, Jacobsthal, Chebyschev, Fermat, Morgav-Voyce polynomials and the Horadam numbers). In particular, we specialize all these identities to the Chebyshev polynomials of the second kind.
2018
combinatorial sums, shifting property, Chebyshev polynomials
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1050932
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact