Laboratoire de Mathématiques Nicolas Oresme, CNRS UMR 6139, Université de Caen BP 5186, 14032, Caen cedex, France
Abstract:
Using Selberg's integral, we present some new Euler-type integral representations of certain nearly poised hypergeometric series. These integrals are also shown to produce linear forms in odd and/or even zeta values that generalize previous work of the author.