Ramanujan Summation of Divergent Series is popular PDF and ePub book, written by Bernard Candelpergher in 2017-09-12, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Ramanujan Summation of Divergent Series can be Read Online from any device for your convenience.
Ramanujan Summation of Divergent Series Book PDF Summary
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. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
Detail Book of Ramanujan Summation of Divergent Series PDF
- Author : Bernard Candelpergher
- Release : 12 September 2017
- Publisher : Springer
- ISBN : 9783319636306
- Genre : Mathematics
- Total Page : 211 pages
- Language : English
- PDF File Size : 15,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Ramanujan Summation of Divergent Series by Bernard Candelpergher, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.