Error bounds for the asymptotic expansion of the Hurwitz zeta function
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Publication:4562005
DOI10.1098/rspa.2017.0363zbMath1404.33018arXiv1702.05316OpenAlexW2603550876WikidataQ88765947 ScholiaQ88765947MaRDI QIDQ4562005
Publication date: 14 December 2018
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.05316
gamma functionHurwitz zeta functionerror boundsasymptotic expansionspolygamma functionsBarnes \(G\)-function
Approximation to limiting values (summation of series, etc.) (40A25) Elliptic functions and integrals (33E05)
Related Items (6)
Computing error bounds for asymptotic expansions of regular P-recursive sequences ⋮ Asymptotic behavior of remainders of special number series ⋮ Multivariable Faulhaber-type formulas and Barnes zeta functions ⋮ The Generalization of Faulhaber's Formula to Sums of Arbitrary Complex Powers ⋮ Sequential estimation of Spearman rank correlation using Hermite series estimators ⋮ On the Poincaré expansion of the Hurwitz zeta function
Uses Software
Cites Work
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