Specimen transformationis singularis serierum

Mathematics – History and Overview

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Scientific paper

Euler starts with a hypergeometric series F(a, b, c, x), and differentiates
it to get a functional relation. This relation is today known as Euler's
identity. Then he integrates to get another and ends up with something like
Legendre polynomials. The paper is translated from Euler's Latin original into
German.

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