English Title

On the continued fractions of Wallis

Authors

Leonhard Euler

Enestrom Number

745

Fuss Index

100

Original Language

Latin

Published as

Journal article

Published Date

1815

Written Date

1780

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.

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

Included in

Mathematics Commons

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