Analytic Combinatorics.
Analytic Number Theory.
Special Functions.
Mathematical Inequalities
Main publications:
Feng Qi, “Pólya type integral inequalities: origin, variants, proofs, refinements, generalizations, equivalences, and applications”, Mathematical Inequalities & Applications, 18:1 (2015), 1–38
Feng Qi, “Bounds for the ratio of two gamma functions”, Journal of Inequalities and Applications, 2010:Article ID 493058 (2010), 84 pages
Feng Qi, “Integral representations and properties of Stirling numbers of the first kind”, Journal of Number Theory, 133:7 (2013), 2307–2319
Feng Qi, “Integral representations and complete monotonicity related to the remainder of Burnside's formula for the gamma function”, Journal of Computational and Applied Mathematics, 268 (2014), 155–167
Feng Qi, “An integral representation, complete monotonicity, and inequalities of Cauchy numbers of the second kind”, Journal of Number Theory, 144 (2014), 244–255