English Title
On the continued fractions of Wallis
Enestrom Number
745
Fuss Index
100
Original Language
Latin
Content Summary
This paper is connected with E123. Euler looks at functions f that satisfy a relation like f(x)∙f(x+1) = (b+ax)2+c, for x=0, 1, 2, .... This gives rise to a complicated improper integral that has cos(b log x) as part of its integrand.
Published as
Journal article
Published Date
1815
Written Date
1780
Original Source Citation
Mémoires de l'académie des sciences de St.-Petersbourg, Volume 5, pp. 24-44.
Opera Omnia Citation
Series 1, Volume 16B, pp.178-199.
Record Created
2018-09-25
