De transformatione seriei divergentis 1 - mx + m(m+n)x^2 - m(m+n)(m+2n)x^3 + etc. in fractionem continuam

Details De transformatione seriei divergentis 1 - mx + m(m+n)x^2 - m(m+n)(m+2n)x^3 + etc. in fractionem continuam De transformatione seriei divergentis 1 - mx + m(m+n)x^2 - m(m+n)(m+2n)x^3 + etc. in fractionem continuam

2012-01-31

arxiv.org/abs/1201.6687v1

Mathematics

History and Overview

Scientific paper

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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