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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2004 Volume 315, Pages 63–89 (Mi znsl738)
This article is cited in 5 papers

Towards the Tauberian theorem of Keldysh

A. F. Grishin, I. V. Poedintseva

V. N. Karazin Kharkiv National University

Abstract: New versions of the Tauberian theorem of Keldysh are proved. We give examples to show the sharpness of the conditions of these theorems. Among auxiliary results, new cases of inversion of the de l'Hospital rule are obtained.

UDC: 517.5

Received: 20.05.2004


 English version: Journal of Mathematical Sciences (New York), 2006, 134:4, 2272–2287

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