English Title

On transcendental progressions, that is, those whose general terms cannot be given algebraically

Authors

Leonhard Euler

Enestrom Number

19

Fuss Index

120

Original Language

Latin

Published as

Journal article

Published Date

1738

Written Date

1729

Content Summary

One of Euler’s earliest papers, he begins with Wallis's "hypergeometric series" 1! + 2! + 3! + 4! + ... (he didn’t have the "!" factorial notation yet) to find the value of the function for a general value of x. He defines [x] to be ∫01 (ln(1/t))x dt, which after substituting t = e-z

Original Source Citation

Commentarii academiae scientiarum Petropolitanae, Volume 5, pp. 36-57.

Opera Omnia Citation

Series 1, Volume 14, pp.1-24.

Record Created

2018-09-25

Included in

Mathematics Commons

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