Error bounds and exponential improvement for the asymptotic expansion of the Barnes G-function

In this paper, we establish new integral representations for the remainder term of the known asymptotic expansion of the logarithm of the Barnes G-function. Using these representations, we obtain explicit and numerically computable error bounds for the asymptotic series, which are much simpler than...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2014-12, Vol.470 (2172), p.1-14
1. Verfasser:	Nemes, Gergő
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymptotic series Error bounds Gamma function Infinite series Laplacians Log integral function Logarithms Mathematical functions Mathematical integrals
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!