Partial Fraction Expansions

Bruce C. Berndt
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Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter Chapter 30 in Ramanujan’s Notebooks, 1994, pp 355-381 from Springer

Abstract: 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.

Keywords: Entire Function; Partial Fraction; Simple Polis; Principal Part; Double Pole (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4612-0879-2_10

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