Abstract
In the last two chapters devoted to the second and third notebooks, we gather together most of Ramanujan’s results on series in the 133 pages of unorganized material found in these two notebooks. In this chapter, we primarily focus on exact formulas, while in Chapter 38 our attention is given to approximations and asymptotic formulas. In Part IV [4], we had disengaged Ramanujan’s results on special functions, partial fraction decompositions, and elementary and miscellaneous analysis from the material on infinite series, and devoted individual chapters to these three topics. Although those three chapters contain a couple of gems, Chapters 37 and 38 have many more jewels.
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© 1998 Springer Science+Business Media New York
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Berndt, B.C. (1998). Infinite Series. In: Ramanujan’s Notebooks. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1624-7_7
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DOI: https://doi.org/10.1007/978-1-4612-1624-7_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7221-2
Online ISBN: 978-1-4612-1624-7
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