arXiv subjects

Da-Wei Niu

Publications and source records attributed to Da-Wei Niu.

2 recordsLinked to original sources

arXiv2021

An analytic generalization of the Catalan numbers and its integral representation

In the paper, the authors analytically generalize the Catalan numbers in combinatorial number theory, establish an integral representation of the analytic generalization of the Catalan numbers by virtue of Cauchy's integral formula in the theory of complex functions, and point out potential directions to further study.

math.CO↗

arXiv2021

Monotonicity properties related to the ratio of two gamma functions

In this paper we investigate the monotonicity properties related to the ratio of gamma functions, from which some related asymptotics and inequalities are established. Some special cases also confirm the conjectures of C.-P. Chen [Monotonicity properties, inequalities, and asymptotic expansions associated with the gamma function. Appl. Math. Comput. 283 (2016), 385--396.].

math.CA↗