Integrals

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

Chapter Chapter 28 in Ramanujan’s Notebooks, 1994, pp 287-333 from Springer

Abstract: Abstract Integrals are scattered throughout Ramanujan’s notebooks. In particular, an abundance of integrals appears in Chapter 13 (Berndt [4]), which is highlighted by several elegant asymptotic expansions of integrals. In this chapter, we examine the nearly 50 results on integrals appearing in the 100 pages at the end of the second notebook, and in the 33-page third notebook.

Keywords: Contour Integration; Absolute Convergence; Integral Evaluation; Maclaurin Series; Poisson Summation Formula (search for similar items in EconPapers)
Date: 1994
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DOI: 10.1007/978-1-4612-0879-2_8

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