A Note on Fibonacci & Lucas and Bernoulli & Euler Polynomials
Journal
Journal of Integer Sequences
ISSN
1530-7638
Date Issued
2012
Author(s)
Pita-Ruiz, Claudio
Type
text::journal::journal article
Abstract
We study certain polynomials Pm (x, y;t) and Qm (x, y;t) of the variable t whose
coefficients involve bivariate Fibonacci polynomials Fj (x, y) or bivariate Lucas polynomials Lj (x, y). By working with Pm (x, y;tx) and Qm (x, y;tx), together with the
generating functions for Bernoulli polynomials Bi (t) and Euler polynomials Ei (t), we
obtain a list of eight identities connecting Fj (x, y) or Lj (x, y) with Bi (t) or Ei (t). We
present also some consequences of these results.
coefficients involve bivariate Fibonacci polynomials Fj (x, y) or bivariate Lucas polynomials Lj (x, y). By working with Pm (x, y;tx) and Qm (x, y;tx), together with the
generating functions for Bernoulli polynomials Bi (t) and Euler polynomials Ei (t), we
obtain a list of eight identities connecting Fj (x, y) or Lj (x, y) with Bi (t) or Ei (t). We
present also some consequences of these results.