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On the behaviour of power series in the absence of Hadamard–Ostrowski gaps

✍ Scribed by Kalmes, Thomas; Müller, Jürgen; Nieß, Markus


Book ID
120435946
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
207 KB
Volume
351
Category
Article
ISSN
1631-073X

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Riemann and the Cauchy—Hadamard formula
✍ Detlef Laugwitz; Erwin Neuenschwander 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 346 KB

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