English Title

Example of the transformation of singular series

Authors

Leonhard Euler

Enestrom Number

710

Fuss Index

165

Original Language

Latin

Content Summary

Euler starts with a hypergeometric series F(a, b, c, x), and differentiates it to get a functional relation. Then he integrates to get another relation and ends up with something like Legendre polynomials.

Published as

Journal article

Published Date

1801

Written Date

1778

Original Source Citation

Nova Acta Academiae Scientiarum Imperialis Petropolitanae, Volume 12, pp. 58-70.

Opera Omnia Citation

Series 1, Volume 16B, pp.41-55.

Record Created

2018-09-25

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