Feng Qi
Abstract
In the paper, the author compute completely monotonic degree of a remainder of the asymptotic expansion of the trigamma function. This result verify one of a series of conjectures on completely monotonic degrees of remainders of the asymptotic expansions for the logarithm of the gamma function and for polygamma functions.
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In the paper, the author compute completely monotonic degree of a remainder of the asymptotic expansion of the trigamma function. This result verify one of a series of conjectures on completely monotonic degrees of remainders of the asymptotic expansions for the logarithm of the gamma function and for polygamma functions.
Key concepts: Remainder, Monotonic function, Mathematics, Asymptotic expansion, Logarithm, Degree (music), Function (biology), Series (stratigraphy)