Du Bois-Reymond criterion (convergence of series)
From Encyclopedia of Mathematics
A series 
, where 
and 
are complex numbers, converges if the series 
converges and the series 
converges absolutely. Established by P. du Bois-Reymond.
Comments
References
| [a1] | K. Knopp, "Theorie und Anwendung der unendlichen Reihen" , Springer (1964) pp. 324 (English translation: Blackie, 1951 & Dover, reprint, 1990) |
How to Cite This Entry:
Du Bois-Reymond criterion (convergence of series). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Du_Bois-Reymond_criterion_(convergence_of_series)&oldid=30930
Du Bois-Reymond criterion (convergence of series). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Du_Bois-Reymond_criterion_(convergence_of_series)&oldid=30930
This article was adapted from an original article by L.D. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article