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

Abstract

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.

Keywords

• Generalized digamma function
• Complete monotonicity
• Inequality
• Concavity