Schäfke, F. W.; Finsterer, A. On Lindelöf’s error bound for Stirling’s series. (English) Zbl 0684.30003 J. Reine Angew. Math. 404, 135-139 (1990). For \(\pi /4<\theta <\pi /2\), the smallest (n-independent) constant C(\(\theta)\) which can be chosen such that \[ | R_ n(z)| \leq A_ n/(r^{2n+1})\cdot C(\theta)\quad (z=re^{i\theta}) \] is valid for all \(r>0\) and \(n\in {\mathbb{N}}_ 0\) is \(C(\theta)=(\sin (2\theta))^{- 1}\). Reviewer: F.W.Schäfke MSC: 30B50 Dirichlet series, exponential series and other series in one complex variable 33B10 Exponential and trigonometric functions PDFBibTeX XMLCite \textit{F. W. Schäfke} and \textit{A. Finsterer}, J. Reine Angew. Math. 404, 135--139 (1990; Zbl 0684.30003) Full Text: Crelle EuDML Digital Library of Mathematical Functions: §5.11(ii) Error Bounds and Exponential Improvement ‣ §5.11 Asymptotic Expansions ‣ Properties ‣ Chapter 5 Gamma Function