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math.CA2012★ 8 cited
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…
math.CA2012
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…