Candelpergher B. Ramanujan Summation of Divergent Series

Springer International Publishing AG, 2017. — 211 p. — (Lecture Notes in Mathematics 2185) — ISBN: 3319636294.The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook.-Ramanujan Summation
-Properties of the Ramanujan Summation
-Dependence on a Parameter
-Transformation Formulas
-An Algebraic View on the Summation of Series
Appendixes
-A Taylor Formula
-The Euler-MacLaurin Formula
-The Euler-Boole Formula