Karpenkov, Oleg N. Geometry of continued fractions. 2nd edition. (English) Zbl 1487.11003 Algorithms and Computation in Mathematics 26. Berlin: Springer (ISBN 978-3-662-65276-3/hbk; 978-3-662-65277-0/ebook). xx, 451 p. (2022). MSC: 11-02 11J70 11A55 11H55 11K50 30B70 40A15 PDFBibTeX XMLCite \textit{O. N. Karpenkov}, Geometry of continued fractions. 2nd edition. Berlin: Springer (2022; Zbl 1487.11003) Full Text: DOI
Romaniv, O. M.; Sagan, A. V. Euclidean domain and skew Laurent series rings. (Ukrainian, English) Zbl 1524.35293 Mat. Metody Fiz.-Mekh. Polya 64, No. 2, 42-46 (2021); translation in J. Math. Sci., NY 277, No. 1, 47-52 (2023). Reviewer: R. K. Azimov (Andizhan) MSC: 35K30 35K65 40A99 32A05 16D99 PDFBibTeX XMLCite \textit{O. M. Romaniv} and \textit{A. V. Sagan}, Mat. Metody Fiz.-Mekh. Polya 64, No. 2, 42--46 (2021; Zbl 1524.35293); translation in J. Math. Sci., NY 277, No. 1, 47--52 (2023) Full Text: DOI
Chen, Shaoshi Bivariate extensions of Abramov’s algorithm for rational summation. (English) Zbl 1457.40002 Schneider, Carsten (ed.) et al., Advances in computer algebra. In honour of Sergei Abramov’s 70th birthday, WWCA 2016, Waterloo, Ontario, Canada, July 23–24, 2016. Selected papers based on the presentations at the workshop. Cham: Springer. Springer Proc. Math. Stat. 226, 93-104 (2018). MSC: 40A25 68W30 PDFBibTeX XMLCite \textit{S. Chen}, Springer Proc. Math. Stat. 226, 93--104 (2018; Zbl 1457.40002) Full Text: DOI arXiv
Baxa, C. Book review of: O. Karpenkov, Geometry of continued fractions. (English) Zbl 1346.00012 Monatsh. Math. 180, No. 3, 662 (2016). MSC: 00A17 11-02 11J70 11A55 11H55 11K50 30B70 40A15 PDFBibTeX XMLCite \textit{C. Baxa}, Monatsh. Math. 180, No. 3, 662 (2016; Zbl 1346.00012) Full Text: DOI
Karpenkov, Oleg Geometry of continued fractions. (English) Zbl 1297.11002 Algorithms and Computation in Mathematics 26. Berlin: Springer (ISBN 978-3-642-39367-9/hbk; 978-3-642-39368-6/ebook). xvii, 405 p. (2013). Reviewer: Lenny Fukshansky (Claremont) MSC: 11-02 11J70 11A55 11H55 11K50 30B70 40A15 PDFBibTeX XMLCite \textit{O. Karpenkov}, Geometry of continued fractions. Berlin: Springer (2013; Zbl 1297.11002) Full Text: DOI
Hensley, Doug Continued fractions. (English) Zbl 1161.11028 Hackensack, NJ: World Scientific (ISBN 981-256-477-2/hbk). xiii, 245 p. (2006). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 11K50 11-02 11K55 11K60 11J70 28D05 30B70 37A45 37F10 40A15 PDFBibTeX XMLCite \textit{D. Hensley}, Continued fractions. Hackensack, NJ: World Scientific (2006; Zbl 1161.11028)
Ecalle, Jean; Vallet, Bruno Passive and active resonance. Nonlinear resurgence and isoresurgent deformations. (English) Zbl 0857.34010 Braaksma, B. L. J. (ed.) et al., The Stokes phenomenon and Hilbert’s 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 103-138 (1996). MSC: 34M05 34M37 32S65 34C20 34E20 40H05 53B99 37-XX PDFBibTeX XMLCite \textit{J. Ecalle} and \textit{B. Vallet}, in: The Stokes phenomenon and Hilbert's 16th problem. Proceedings of the workshop, Groningen, The Netherlands, May 31-June 3, 1995. Singapore: World Scientific. 103--138 (1996; Zbl 0857.34010)
Ramis, Jean-Pierre; Sibuya, Yasutaka A new proof of summability of formal solutions of nonlinear meromorphic differential equations. (English) Zbl 0812.34005 Ann. Inst. Fourier 44, No. 3, 811-848 (1994). MSC: 34M99 40G10 34A25 34C20 40H05 PDFBibTeX XMLCite \textit{J.-P. Ramis} and \textit{Y. Sibuya}, Ann. Inst. Fourier 44, No. 3, 811--848 (1994; Zbl 0812.34005) Full Text: DOI Numdam EuDML
Lin, Jium-ming; Han, Kuang-wei Reducing the effects of model reduction on stability boundaries and limit-cycle characteristics. (English) Zbl 0586.93059 IEEE Trans. Autom. Control 31, 567-569 (1986). MSC: 93D99 40A15 41A21 93C10 PDFBibTeX XMLCite \textit{J.-m. Lin} and \textit{K.-w. Han}, IEEE Trans. Autom. Control 31, 567--569 (1986; Zbl 0586.93059) Full Text: DOI
Shoji, F. F.; Abe, K.; Takeda, H. Model reduction for a class of linear dynamic systems. (English) Zbl 0571.93008 J. Franklin Inst. 319, 549-558 (1985). MSC: 93A15 40A15 93C05 30B70 93B40 93D15 PDFBibTeX XMLCite \textit{F. F. Shoji} et al., J. Franklin Inst. 319, 549--558 (1985; Zbl 0571.93008) Full Text: DOI
Fuhrmann, Paul A. A matrix Euclidean algorithm and matrix continued fraction expansions. (English) Zbl 0567.65020 Syst. Control Lett. 3, 263-271 (1983). MSC: 65F30 30B70 40A15 93B99 PDFBibTeX XMLCite \textit{P. A. Fuhrmann}, Syst. Control Lett. 3, 263--271 (1983; Zbl 0567.65020) Full Text: DOI
Shimomura, Shun Analytic integration of some nonlinear ordinary differential equations and the fifth Painlevé equation in the neighbourhood of an irregular singular point. (English) Zbl 0548.34004 Funkc. Ekvacioj, Ser. Int. 26, 301-338 (1983). Reviewer: P.Metzger MSC: 34A25 34A34 30D05 40C15 34M55 34C20 40H05 PDFBibTeX XMLCite \textit{S. Shimomura}, Funkc. Ekvacioj, Ser. Int. 26, 301--338 (1983; Zbl 0548.34004)
Fuhrmann, Paul A. A matrix Euclidean algorithm and matrix continued fraction expansions. (English) Zbl 0545.93013 Syst. Control Lett. 3, 263-271 (1983). Reviewer: S.G.Tzafestas MSC: 93B20 40A15 93B25 11A55 12D05 93B15 PDFBibTeX XMLCite \textit{P. A. Fuhrmann}, Syst. Control Lett. 3, 263--271 (1983; Zbl 0545.93013) Full Text: DOI
Garg, Kumkum; Singh, Harpreet Inversion of a 2D continued fraction. (English) Zbl 0474.93021 Int. J. Control 34, 191-196 (1981). MSC: 93B17 93A15 41A60 40A15 PDFBibTeX XMLCite \textit{K. Garg} and \textit{H. Singh}, Int. J. Control 34, 191--196 (1981; Zbl 0474.93021) Full Text: DOI