Γ-函数及相关函数的单调性与凹凸性
Some Monotonicity and Concavity and Convexity Properties of Gamma Function and Its Related Functions
DOI: 10.12677/pm.2024.145200, PDF,    科研立项经费支持
作者: 周培桂*：浙江理工大学科技与艺术学院信息与控制学院，浙江 绍兴；王 飞, 王晓宇：浙江机电职业技术学院数学教研室，浙江 杭州
关键词: Γ-函数；ψ-函数；单调性；凹凸性；Gamma Function； Psi Function； Monotonicity； Concavity and Convexity
摘要: 文中运用求导、对数求导等分析方法，获得了Γ-函数及相关函数的若干单调性和凹凸性，从而推广或改进了一些已有的相关结果。
Abstract: In this paper, some monotonicity and concavity and convexity properties of Gamma function and its related functions are obtained by analytical methods such as differentiation and logarithmic differentiation, and from which some known related results are generalized or improved.
文章引用：周培桂, 王飞, 王晓宇. Γ-函数及相关函数的单调性与凹凸性[J]. 理论数学, 2024, 14(5): 457-464. https://doi.org/10.12677/pm.2024.145200

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