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arXiv · 1201.6687

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

Leonhard Euler·Artur Diener·Alexander Aycock
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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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Leonhard Euler, Artur Diener, Alexander Aycock. 2012-01-31. De transformatione seriei divergentis 1 - mx + m(m+n)x^2 - m(m+n)(m+2n)x^3 + etc. in fractionem continuam. https://arxiv.org/abs/1201.6687

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