Abstract
In the survey paper, along one of several main lines of bounding the ratio of two gamma functions, the authors retrospect and analyse Wen- del's double inequality, Kazarino's renement of Wallis' formula, Watson's monotonicity, Gautschi's double inequality, Kershaw's rst double inequality, and the (logarithmically) complete monotonicity results of functions involving ratios of two gamma or q-gamma functions obtained by Bustoz, Ismail, Lorch, Muldoon, and other mathematicians.
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