Monotonicity, concavity, and inequalities related to the generalized digamma function

Advances in Difference Equations

Xiu-Li Lin¹  Yong-Li Wang²  Li Yin³  Li-Guo Huang³ 

[1] College of Mathematics Science, Qufu Normal University;College of Mathematics and Systems Science, Shandong University of Science and Technology;College of Science, Binzhou University;

关键词: Generalized digamma function;    Complete monotonicity;    Inequality;    Concavity;   

DOI  :  10.1186/s13662-018-1695-7

来源: DOAJ

【 摘 要 】

Abstract In this paper, we establish a concave theorem and some inequalities for the generalized digamma function. Hence, we give complete monotonicity property of a determinant function involving all kinds of derivatives of the generalized digamma function.

【 授权许可】

Unknown