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

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.

Bibliographic Details
Main Authors: Li Yin, Li-Guo Huang, Xiu-Li Lin, Yong-Li Wang
Format: Article
Language:English
Published: Springer 2018-07-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1695-7