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Partial Fraction Expansions

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Ramanujan’s Notebooks
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Abstract

Ramanujan evidently had an affinity for partial fraction expansions, which can be found in several places in his notebooks. The heaviest concentrations lie in Chapters 14 and 18 and in the unorganized pages at the end of the second notebook. See our books [4] and [6] for accounts of the material in Chapters 14 and 18, respectively. In this chapter, we prove the 15 partial fraction decompositions found in the unorganized pages of the second notebook.

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© 1994 Springer Science+Business Media New York

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Berndt, B.C. (1994). Partial Fraction Expansions. In: Ramanujan’s Notebooks. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0879-2_10

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  • DOI: https://doi.org/10.1007/978-1-4612-0879-2_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6932-8

  • Online ISBN: 978-1-4612-0879-2

  • eBook Packages: Springer Book Archive

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