77 citations · 2.3k across the 111 of their papers we have counts for
5 papers · 1 filter
An analytic generalization of the Catalan numbers and its integral representation
Wen-Hui Li, Jian Cao, Da-Wei Niu +2
In the paper, the authors analytically generalize the Catalan numbers in combinatorial number theory, establish an integral representation of the analytic generalization of the Cat…
A determinantal expression and a recursive relation of the Delannoy numbers
Feng Qi
In the paper, by a general and fundamental, but non-extensively circulated, formula for derivatives of a ratio of two differentiable functions and by a recursive relation of the He…
A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function
Feng Qi
In the paper, the author presents a double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. This result partially con…
Refinements of Young's integral inequality via fundamental inequalities and mean value theorems for derivatives
Feng Qi, Wen-Hui Li, Guo-Sheng Wu +1
In the paper, the authors review several refinements of Young's integral inequality via several mean value theorems, such as Lagrange's and Taylor's mean value theorems of Lagrange…
From inequalities involving exponential functions and sums to logarithmically complete monotonicity of ratios of gamma functions
Feng Qi, Bai-Ni Guo
In the paper, the authors review origins, motivations, and generalizations of a series of inequalities involving several exponential functions and sums, establish three new inequal…