W. V. Zudilin, “Quadratic Transformations and Guillera's Formulas for <nobr>$1/\pi^2$</nobr>”, Mat. Zametki, 2007, Volume 81, Issue 3,Pages <nobr>335

This article is cited in 20 papers

Quadratic Transformations and Guillera's Formulas for $1/\pi^2$

W. V. Zudilin^ab

^a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We prove two new series of Ramanujan type for $1/\pi^2$.

Keywords: Ramanujan-type formula, Pochhammer symbol, hypergeometric series, Apéry numbers.

UDC: 517.588

Received: 11.07.2006

DOI: 10.4213/mzm3676