摘要
给出了gamma函数Γ(x)的几个单调性和对数-凹凸性,以及由Γ(x)、psi函数ψ(x)及其导数ψ′(x)和ψ″(x)定义的某种组合的单调性与凹凸性,并运用这些结果实质性地改进了关于Γ(x)和ψ(x)的几个已知结果。
The authors present several monotonicity and log-convexity properties of the gamma functionΓ(x),and some monotonicity and convexity properties of certain combinations defined in terms ofΓ(x),the psi functionψ(x),ψ′(x)andψ″(x),by which several known results are improved.
出处
《浙江理工大学学报（自然科学版）》
2018年第1期108-112,共5页
Journal of Zhejiang Sci-Tech University(Natural Sciences)
基金
supported by the NSF of P.R.China(1171307)
