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1995/1996 Summation of divergent series from the nonstandard piont of view
Vladimir Kanovei, Michael Reeken
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Real Anal. Exchange 21(2): 473-497 (1995/1996).


The aim of this paper is to demonstrate that several non-rigorous methods of mathematical reasoning in the field of divergent series, mostly related to the Euler and Hutton transforms, may be developed in a correct and consistent way by methods of nonstandard analysis.


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Vladimir Kanovei. Michael Reeken. "Summation of divergent series from the nonstandard piont of view." Real Anal. Exchange 21 (2) 473 - 497, 1995/1996.


Published: 1995/1996
First available in Project Euclid: 14 June 2012

zbMATH: 0879.03024
MathSciNet: MR1407263

Primary: 03H05 , 40A25 , 40J05

Keywords: divergent series , nonstandard analysis , summability

Rights: Copyright © 1995 Michigan State University Press

Vol.21 • No. 2 • 1995/1996
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