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Ramanujan’s short unpublished manuscript on integrals and series related to Euler’s constant. (English) Zbl 0964.40004

Théra, Michel (ed.), Constructive, experimental, and nonlinear analysis. Selected papers of a workshop, Limoges, France, September 22-23, 1999. Providence, RI: American Mathematical Society (AMS), publ. for the Canadian Mathematical Society. CMS Conf. Proc. 27, 19-27 (2000).
In the present work, the authors give proofs of the theorems stated by Ramanujan, in the article fragment of the title; consider relations of these results to other, published, work; and offer some new propositions of their own.
For the entire collection see [Zbl 0954.00025].

MSC:

40A99 Convergence and divergence of infinite limiting processes
33B15 Gamma, beta and polygamma functions
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