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A double inequality for completely monotonic degree of a remainder for an asymptotic expansion of the trigamma function (2003.05300v2)
Published 10 Mar 2020 in math.GM
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.