Parthasarathy, P. R.; Balakrishnan, N. A continued fraction approximation of the modified Bessel function \(I_ 1(t)\). (English) Zbl 0734.41020 Appl. Math. Lett. 4, No. 1, 25-27 (1991). The authors use a continued fraction approach in approximating the function \(f(s)=s+1-(s(s+2))^{1/2}.\) Reviewer: A.B.Nemeth (Cluj-Napoca) Cited in 1 Document MSC: 41A21 Padé approximation 33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\) Keywords:continued fraction approach PDFBibTeX XMLCite \textit{P. R. Parthasarathy} and \textit{N. Balakrishnan}, Appl. Math. Lett. 4, No. 1, 25--27 (1991; Zbl 0734.41020) Full Text: DOI References: [1] Jones, W. B.; Thron, W. J., Continued Fractions, Analytic Theory and Applications (1980), Addison-Wesley · Zbl 0445.30003 [2] Abramowitz, M.; Stegun, I. A., Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (1970), Dover · Zbl 0515.33001 [3] Murphy, J¿A.; O’Donohoe, M. R., Some properties of continued fractions with applications in Markov processes, J. Inst. Math. Applics., 16, 57-71 (1975) · Zbl 0314.65057 [4] O. Perron, Die Lehre von den Kettenbrüchen; O. Perron, Die Lehre von den Kettenbrüchen [5] Gragg, W. B.; Harrod, W. J., The numerically stable reconstruction of Jacobi matrices from spectral data, Numer. Math., 44, 317-335 (1984) · Zbl 0556.65027 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.