8 citations · 9 across the 8 of their papers we have counts for
3 papers · 1 filter
On computing some special values of hypergeometric functions
Giovanni Mingari Scarpello, Daniele Ritelli
The theoretical computing of special values assumed by the hypergeometric functions has a high interest not only on its own, but also in sight of the remarkable implications to bot…
The hyperbola rectification from Maclaurin to Landen and the Lagrange-Legendre transformation for the elliptic integrals
Giovanni Mingari Scarpello, Daniele Ritelli, Aldo Scimone
This article describes the main mathematical researches performed, in England and in the Continent between 1742-1827, on the subject of hyperbola rectification, thereby adding some…
Legendre Hyperelliptic integrals, π new formulae and Lauricella functions through the elliptic singular moduli
Giovanni Mingari Scarpello, Daniele Ritelli
This paper, pursuing the work started in [10] and [11], holds six new formulae for π, see equations, through ratios of first kind elliptic integrals and some values of hypergeometr…