A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function

Abstract

In the paper, the author presents a double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function. This result partially confirms one in a series of conjectures on completely monotonic degrees of remainders of asymptotic expansions for the logarithm of the gamma function and for polygamma functions.

7 pages

References in corpus (1)

• A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function

Cited by in corpus (2)

• A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function
• Partial solutions to several conjectures on completely monotonic degrees for remainders in asymptotic expansions of the digamma function