Qi’s conjectures on completely monotonic degrees of remainders of asymptotic formulas of di- and trigamma functions

Abstract

Abstract Several conjectures posed by Qi on completely monotonic degrees of remainders for the asymptotic formulas of the digamma and trigamma functions are proved.

Keywords

• Complete monotonicity
• Completely monotonic degree
• Digamma function
• Trigamma function
• Asymptotic formula