On Ramanujan's Double Inequality for the Gamma Function

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Inequalities for the gamma function (2008, background): “Recently numerous interesting inequalities for the gamma function have been proved by many mathematicians, we refer to [1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 17, 20, 22], and the references therein.”
On some properties of digamma and polygamma functions (2007, unknown): “Horst Alzer has used polygamma functions to prove many basic inequalities on the classical gamma function extensively, see [5–9].”
Completely monotonic functions involving the gamma and q-gamma functions (2005, background): “We continue to witness progress in this area as can be seen from the more recent works [1] [2] [3] [4] [6] [22] (see also [5]).”