3 citations · 4 across the 6 of their papers we have counts for
4 papers · 1 filter
Asymptotic expansions of truncated hypergeometric series for
Lorenz Milla, Chao-Ping Chen
In this paper, we consider rational hypergeometric series of the form \[\frac{p}π= \sum_{k=0}^\infty u_k\quad\text{with}\quad u_k=\frac{\left(\frac{1}{2}\right)_k \left(q\right)_k…
Asymptotic expansions for the truncation error in Ramanujan-type series
Lorenz Milla
Many of the fastest known algorithms to compute involve generalized hypergeometric series, such as the Ramanujan-Sato series. In this paper, we investigate the rates of converg…
Easy Proof of Three Recursive -Algorithms -- Einfacher Beweis dreier rekursiver -Algorithmen
Lorenz Milla
This paper consists of three independent parts: First we use only elementary algebra to prove that the quartic algorithm of the Borwein brothers has exactly the same output as the…
A detailed proof of the Chudnovsky formula with means of basic complex analysis -- Ein ausführlicher Beweis der Chudnovsky-Formel mit elementarer Funktionentheorie
Lorenz Milla
In this paper we give another proof of the Chudnovsky formula for calculating - a proof in detail with means of basic complex analysis. With the exception of the tenth chapter,…