JournalslemVol. 59, No. 1/2pp. 39–72

Le produit harmonique des suites

  • Bernard Candelpergher

    Université de Nice Sophia Antipolis, France
  • Marc-Antoine Coppo

    Université de Nice Sophia Antipolis, France
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Abstract

By means of an involutary binomial transformation on complex sequences, we define a new product called “harmonic” because of its remarkable properties towards harmonic sums. The Euler series transformation allows one to deduce from these properties some new and remarkable identities.

Cite this article

Bernard Candelpergher, Marc-Antoine Coppo, Le produit harmonique des suites. Enseign. Math. 59 (2013), no. 1/2, pp. 39–72

DOI 10.4171/LEM/59-1-2