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. 39–72DOI 10.4171/LEM/59-1-2