English Title

Considerations on certain series

Authors

Leonhard Euler

Enestrom Number

130

Fuss Index

123

Original Language

Latin

Published as

Journal article

Published Date

1750

Written Date

1739

Content Summary

Euler factors a power series into an infinite product, applying it to f'/f, and evaluates a number of series using what look like trigonometric substitutions. He also applies this to the differential equation zs' – ssz + s2 = 0 by recursion. Then he attempts to evaluate ζ(2k+1).

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 12, pp. 53-96.

Opera Omnia Citation

Series 1, Volume 14, pp.407-462.

Record Created

2018-09-25

Included in

Mathematics Commons

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