De transformatione seriei divergentis 1 - mx + m(m+n)x² - m(m+n)(m+2n)x³ + etc. in fractionem continuam

2012/01/31 by Euler, Leonhard, Diener, Artur, Aycock, Alexander
#FOS: Mathematics #History and Overview (math.HO)

paper · doi:10.48550/arxiv.1201.6687

Abstract

In this paper, Euler transforms the divergent series in the title, and thereby dervies the well known continued fraction expansion for pi/4 from Leibniz's series. The paper is translated from Euler's Latin originial into German.

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