3 years ago

Da Wallis a Ramanujan, in compagnia di R.W. Gosper

Manuel Ojanguren

Publication date: Available online 5 July 2018

Source: Expositiones Mathematicae

Author(s): Manuel Ojanguren

Abstract

Accelerating the convergence of some hypergeometric series with Gosper’s method leads, in a most elementary way, to some series discovered by Ramanujan, Bauer and Dougall. In particular, it is shown that one of them can be traced back to the well-known formula of Wallis.

Riassunto

Accelerando la convergenza di alcune serie ipergeometriche col metodo di Gosper, si ritrovano, in modo elementarissimo, diverse serie scoperte da Ramanujan, Bauer e Dougall. In particolare, si mostra che una di queste è riconducibile alla nota formula di Wallis.

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