Completely monotonic degrees of remainders of asymptotic expansions of digamma function
Authors:
- Feng QiFQFeng Qi
- Mansour MahmoudMMMansour Mahmoud
Preprint
Abstract
Motivated by conjectures posed in the paper "F. Qi and A.-Q. Liu, Completely monotonic degrees for a difference between the logarithmic and psi functions, J. Comput. Appl. Math. vol. 361, pp. 366--371 (2019); available online at https://doi.org/10.1016/j.cam.2019.05.001", the authors calculate some completely monotonic degrees of the remainders in the asymptotic expansions of the logarithm of the gamma function and the digamma function. Moreover, the authors confirm some conjectures on completely monotonic degrees of these remainder functions.Keywords
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This publication has 31 references indexed in Scilit:
- Completely monotonic degrees for a difference between the logarithmic and psi functionsJournal of Computational and Applied Mathematics, 2019
- A double inequality for the ratio of two non-zero neighbouring Bernoulli numbersJournal of Computational and Applied Mathematics, 2019
- Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kindJournal of Computational and Applied Mathematics, 2014
- Some identities involving exponential functions and Stirling numbers and applicationsJournal of Computational and Applied Mathematics, 2014
- Introduction2014
- Some identities and an explicit formula for Bernoulli and Stirling numbersJournal of Computational and Applied Mathematics, 2014
- A completely monotonic function involving the tri-gamma function and with degree oneApplied Mathematics and Computation, 2012
- Absolutely monotonic functions related to Euler’s gamma function and Barnes’ double and triple gamma functionMonatshefte für Mathematik, 2010
- Completely Monotonic and Related FunctionsJournal of Mathematical Analysis and Applications, 1996
- Ramanujan’s Notebooks1989