Summation formulae on reciprocal sequences

  • Authors:

  • Wenchang Chu;Pierluigi Magli

  • Affiliations:

  • Dipartimento di Matematica, Universití degli Studi di Lecce, Lecce-Arnesano, P.O. Box 193, 73100 Lecce, Italy;Dipartimento di Matematica, Universití degli Studi di Lecce, Lecce-Arnesano, P.O. Box 193, 73100 Lecce, Italy

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2007

Quantified Score

Hi-index 0.00

Visualization

Abstract

By means of series rearrangement, we prove an algebraic identity on the symmetric difference of bivariate @W-polynomials associated with an arbitrary complex sequence. When the sequence concerned is@e-reciprocal, we find some unusual recurrence relations with binomial polynomials as coefficients. As applications, several interesting summation formulae are established for Bernoulli, Fibonacci, Lucas and Genocchi numbers.