%0 Journal Article
%T A SCHEMA FOR OBTAINING THE SUM OF THE ALTERNATING SERIES
%A ANDREI VERNESCU
%J Journal of Science and Arts
%D 2012
%I Bibliotheca Publishing House
%X We recall some classical methods for obtaining the sum of the alternating series and we give a special attention to one of these methods, generalizing the schema based on the identity of Catalan.
%K convergent series
%K alternating series
%K sum of a series
%K power series
%K integrals
%K geometric progression
%K trigonometric series
%K the residues theorem
%K the identity of Catalan
%K generalized constant of Euler type
%K the function of Riemann.
%U http://www.icstm.ro/DOCS/josa/josa_2012_2/a_07_Vernescu_A.pdf