New identities involving Bernoulli and Euler polynomials

  • Authors:
  • Hao Pan;Zhi-Wei Sun

  • Affiliations:
  • Department of Mathematics, Nanjing University, Nanjing, People's Republic of China;Department of Mathematics, Nanjing University, Nanjing, People's Republic of China

  • Venue:
  • Journal of Combinatorial Theory Series A
  • Year:
  • 2006

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Abstract

Using the finite difference calculus and differentiation, we obtain several new identities for Bernoulli and Euler polynomials; some extend Miki's and Matiyasevich's identities, while others generalize a symmetric relation observed by Woodcock and some results due to Sun.