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Theorems Featuring the Gamma Function

George E. Andrews and Bruce C. Berndt
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George E. Andrews: The Pennsylvania State University, Department of Mathematics
Bruce C. Berndt: University of Illinois at Urbana-Champaign, Department of Mathematics

Chapter 4 in Ramanujan's Lost Notebook, 2013, pp 111-130 from Springer

Abstract: Abstract Some integrals of gamma functions are evaluated. A remarkable approximation to the gamma function, with a slightly less precise approximation submitted as a problem by Ramanujan to the Journal of the Indian Mathematical Society, is examined in detail.

Keywords: Asymptotic Expansion; Gamma Function; Asymptotic Formula; Bernoulli Number; Lost Notebook (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/978-1-4614-4081-9_4

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