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Ramanujan summation of divergent series

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Author(s): Candelpergher, Bernard
Series: Lecture notes in mathematics (Springer-Verlag) 2185
Publisher: Springer
Year: 2017

Language: English
Pages: 193
City: Cham
Tags: Divergent series.

Content: Introduction: The Summation of Series.- 1 Ramanujan Summation.- 3 Properties of the Ramanujan Summation.- 3 Dependence on a Parameter.- 4 Transformation Formulas.- 5 An Algebraic View on the Summation of Series.- 6 Appendix.- 7 Bibliography.- 8 Chapter VI of the Second Ramanujan's Notebook.