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- Jiao-Lian Zhao, Bai-Ni Guo (郭白妮), Feng Qi (祁锋)
- Periodica Mathematica Hungarica
- 2012

AbstractThe psi function ψ(x) is defined by ψ(x) = Γ′(x)/Γ(x) and ψ(i)(x), for i ∈ ℕ, denote the polygamma functions, where Γ(x) is the gamma function. In this paper, we prove that the functions $$… (More)

AbstractThe di-gamma function ψ(x) is defined on (0,∞) by $\psi (x) = \frac{{\Gamma '(x)}}
{{\Gamma (x)}}
$ and ψ(i)(x) for i ∈ ℕ denote the polygamma functions, where Γ(x) is the classical Euler’s… (More)

In the paper, the authors find closed forms for derangement numbers in terms of the Hessenberg determinants, discover a recurrence relation of derangement numbers, present a formula for any higher… (More)

- Jiao-Lian Zhao
- 2003

The inversion for the Q value of the upper crust along the profile from Baicheng to Da Qaidam has been carried out using seismic reflection/refraction data acquired on the profiles which cross the… (More)

- Jiao-Lian Zhao
- 2015

In the paper, a function relating to the q -trigamma function is proved to be completely monotonic. As by-products, two functions relating to the logarithmic function are also proved to be completely… (More)

- Jiao-Lian Zhao, Feng Qi (祁锋)
- Journal of inequalities and applications
- 2017

In the paper, by the Faà di Bruno formula, the authors establish two explicit formulas for the Motzkin numbers, the generalized Motzkin numbers, and the restricted hexagonal numbers.

In the paper, the authors find a simple and significant expression in terms of the Stirling numbers for derivative polynomials of a function with a parameter related to the higher order Apostol-Euler… (More)