Continued Fractions

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

Chapter 32 in Ramanujan’s Notebooks, 1998, pp 9-88 from Springer

Abstract: Abstract Chapter 12 in Ramanujan’s second notebook is devoted almost entirely to continued fractions. Further continued fractions can be found in other chapters, especially in Chapter 16. See Parts II [2] and III [3] for accounts of Chapters 12 and 16, respectively. The 100 pages of unorganized material at the end of the second notebook and the 33 unorganized pages in the third notebook contain about 60 further results on continued fractions. These and four evaluations of the RogersRamanujan continued fraction from the first notebook will be examined in this chapter.

Keywords: Complex Number; Meromorphic Function; Continue Fraction; Part Versus; Bernoulli Number (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/978-1-4612-1624-7_2

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