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Riemann and the Cauchy—Hadamard formula for the convergence of power series

✍ Scribed by Detlef Laugwitz; Erwin Neuenschwander

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
346 KB
Volume
21
Category
Article
ISSN
0315-0860

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✦ Synopsis

The Cauchy-Hadamard formula for the radius of convergence of a power series was stated and proved by Riemann in his lectures of November 1856. This discovery revises the widespread opinion that, after Cauchy's publication in 1821, the formula was ignored until its rediscovery by Hadamard around 1890.

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