Ramanujan summation of divergent series / Bernard Candelpergher.
Material type:
TextSeries: Lecture notes in mathematics ; 2185.Publication details: Cham : Springer, 2017.Description: xxiii, 193 pages : illustrations ; 24 cmISBN: - 9783319636290 (alk. paper)
- 515.243 23 C216
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.243 C216 (Browse shelf(Opens below)) | Available | 138240 |
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| 515.243 B868 Introduction to the theory of Infinite series | 515.243 B868 Introduction to the theory of Infinite series | 515.243 B941 Multiple Dirichlet series, L-functions and automorphic forms | 515.243 C216 Ramanujan summation of divergent series / | 515.243 C454 Invitation to q-series | 515.243 C456 Typical means | 515.243 C778 Continued,fractions and orthogonal functions |
Include index and bibliographical references.
1 Ramanujan Summation.-
2 Properties of the Ramanujan Summation.-
3 Dependence on a Parameter.-
4 Transformation Formulas.-
5 An Algebraic View on the Summation of Series --
Appendices.
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 provides simple proofs of theorems on the summation of some divergent series. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes.
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