
Ramanujan Summation of Divergent Series
Kurzinformation



inkl. MwSt. Versandinformationen
Artikel zZt. nicht lieferbar
Artikel zZt. nicht lieferbar

Beschreibung
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. von Candelpergher, Bernard
Produktdetails

So garantieren wir Dir zu jeder Zeit Premiumqualität.
Über den Autor
- Gebunden
- 418 Seiten
- Erschienen 2009
- Springer
- hardcover
- 234 Seiten
- Erschienen 2017
- Taylor & Francis Inc
- hardcover
- 232 Seiten
- Erschienen 2007
- A K Peters
- Kartoniert
- 204 Seiten
- Erschienen 2007
- Springer
- Hardcover
- 176 Seiten
- Erschienen 1990
- Friedrich Vieweg & Sohn...
- Kartoniert
- 548 Seiten
- Erschienen 2010
- Springer