On the continued fraction \(\frac{1 |}{| z } +\frac{1 |}{| 1 } + \frac{2 |}{| z } +\frac{3 |}{| 1 } + \frac{4 |}{| z} + \cdots\)
type: Item
instance of: scholarly article
title: On the continued fraction \(\frac{1 |}{| z } +\frac{1 |}{| 1 } + \frac{2 |}{| z } +\frac{3 |}{| 1 } + \frac{4 |}{| z} + \cdots\)
zbMATH Open document ID: 1241.30001
author: Harald Riede
published in: The Ramanujan Journal
publication date: 2012-01-26T00:00:00Z
review text: S. Ramanujan has presented the continued fraction \(\frac{1 |}{| z } +\frac{1 |}{| 1 } + \frac{2 |}{| z } +\frac{3 |}{| 1 } + \frac{4 |}{| z} + \cdots\) by a power series, but he concealed the proof. Later a proof has been established using many statements. In this paper the author gives another proof which is an advantegeous competition with the previous one.
reviewed by: Chrysoula G. Kokologiannaki
Mathematics Subject Classification ID: 30B70
Mathematics Subject Classification ID: 30B10
Mathematics Subject Classification ID: 11A55
zbMATH DE Number: 6000238
zbMATH Keywords: continued fraction
zbMATH Keywords: Ramanujan
zbMATH Keywords: continued fraction of Stieltjes
zbMATH Keywords: power series
zbMATH Keywords: exponential function
zbMATH Keywords: Gaussian error function
MaRDI profile type: Publication
full work available at URL: s11139-010-9268-8
OpenAlex ID: W2047889579
cites work: Q3995284
cites work: Q5513003
DOI: 10.1007/S11139-010-9268-8
description: scientific article; zbMATH DE number 6000238