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

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

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of inequalities and applications 2020-03, Vol.2020 (1), p.1-10, Article 83
Hauptverfasser:	Xu, Ai-Min, Cen, Zhong-Di
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Applications of Mathematics Asymptotic formula Asymptotic properties Complete monotonicity Completely monotonic degree Digamma function Mathematics Mathematics and Statistics Trigamma function
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Beschreibung
Zusammenfassung:	Several conjectures posed by Qi on completely monotonic degrees of remainders for the asymptotic formulas of the digamma and trigamma functions are proved.
ISSN:	1029-242X 1025-5834 1029-242X
DOI:	10.1186/s13660-020-02345-5