Ramanujan’s short unpublished manuscript on integrals and series related to Euler’s constant.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

Berndt, Bruce C.; Bowman, Douglas C.

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].

Reviewer: R.E.Zink (Lafayette)

MSC:

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

Keywords:

theorems by Ramanujan; integrals; series; Euler’s constant