scholarly journals Summation of divergent series and Borel summability for strongly dissipative differential equations with periodic or quasiperiodic forcing terms

2005 ◽  
Vol 46 (6) ◽  
pp. 062704 ◽  
Author(s):  
Guido Gentile ◽  
Michele V. Bartuccelli ◽  
Jonathan H. B. Deane
Keyword(s):  
Differential Equations ◽  
Divergent Series ◽  
Borel Summability ◽  
Summation Of Divergent Series

On the Summation of Divergent Series

1865 ◽  
Vol 12 (5) ◽  
pp. 245-252
Author(s):  
A. De Morgan
Keyword(s):  
Divergent Series ◽  
Summation Of Divergent Series

In the last Number I gave the most elementary view I could arrive at of Arbogast's method of development. In the communication following I saw that Mr. Peter Gray had referred to Stirling's theorem; and this suggested that it might be useful to give, by means of common algebra only, an account of the two most important cases of summation of many terms of a divergent series.

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