Cabrera, Carlos; Makienko, Peter; Poirier, Alfredo On Nörlund-Voronoi summability and instability of rational maps. (English) Zbl 1485.37042 Arnold Math. J. 6, No. 3-4, 523-549 (2020). MSC: 37F10 40H05 PDFBibTeX XMLCite \textit{C. Cabrera} et al., Arnold Math. J. 6, No. 3--4, 523--549 (2020; Zbl 1485.37042) Full Text: DOI arXiv
Bonami, Aline Book review of: D. Choimet and H. Queffélec, Analyse mathématique. Grands théorèmes du vingtième siècle; P. D. Lax and L. Zalcman, Complex proofs of real theorems. (French) Zbl 1358.00022 Gaz. Math., Soc. Math. Fr. 140, 109-110 (2014). MSC: 00A17 00A05 01A60 11T23 11T24 26A27 30H05 33E99 40E05 42A05 42C20 46B09 46B25 46J15 46J20 54E52 30-01 47-01 37-01 30A99 30B10 30C80 37F10 30D45 47B38 47B35 PDFBibTeX XMLCite \textit{A. Bonami}, Gaz. Math., Soc. Math. Fr. 140, 109--110 (2014; Zbl 1358.00022)
Gladun, V. R. Sets of absolute stability to perturbations of branched continued fractions with real elements. (Ukrainian. English summary) Zbl 1289.40008 Visn. Derzh. Univ. L’viv. Politekh. 768, 63-70 (2013). MSC: 40A15 30B70 PDFBibTeX XMLCite \textit{V. R. Gladun}, Visn. Derzh. Univ. L'viv. Politekh. 768, 63--70 (2013; Zbl 1289.40008)
Short, Ian Hausdorff dimension of sets of divergence arising from continued fractions. (English) Zbl 1267.37048 Proc. Am. Math. Soc. 140, No. 4, 1371-1385 (2012). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 37F35 30B70 30F45 51B10 40A15 PDFBibTeX XMLCite \textit{I. Short}, Proc. Am. Math. Soc. 140, No. 4, 1371--1385 (2012; Zbl 1267.37048) Full Text: DOI
Bayart, Frédéric Boundary behavior and Cesàro means of universal Taylor series. (English) Zbl 1103.30003 Rev. Mat. Complut. 19, No. 1, 235-247 (2006). Reviewer: Peter Lappan (East Lansing) MSC: 30B40 30D40 40G05 PDFBibTeX XMLCite \textit{F. Bayart}, Rev. Mat. Complut. 19, No. 1, 235--247 (2006; Zbl 1103.30003) Full Text: DOI EuDML
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)
Il’yuta, G. G. Sylvester sub-resultants, rational Cauchy approximations, Thiele’s continued fractions, and higher Bruhat orders. (English. Russian original) Zbl 1085.40002 Russ. Math. Surv. 60, No. 2, 354-356 (2005); translation from Usp. Mat. Nauk 60, No. 2, 165-166 (2005). Reviewer: Joseph Neggers (Tuscaloosa) MSC: 40A15 05B20 11J70 30B70 30E10 41A20 06A07 13P99 11A55 PDFBibTeX XMLCite \textit{G. G. Il'yuta}, Russ. Math. Surv. 60, No. 2, 354--356 (2005; Zbl 1085.40002); translation from Usp. Mat. Nauk 60, No. 2, 165--166 (2005) Full Text: DOI
Lorentzen, Lisa On the convergence of limit periodic continued fractions \(K(a_n/1)\) where \(a_n\to -\frac 14\). IV. (English) Zbl 0985.40005 Constructive Approximation 18, No. 1, 1-17 (2002). Reviewer: H.P.Dikshit (New Delhi) MSC: 40A15 30B70 PDFBibTeX XMLCite \textit{L. Lorentzen}, Constr. Approx. 18, No. 1, 1--17 (2002; Zbl 0985.40005) Full Text: DOI
Antonova, T. M.; Bodnar, D. I. Domains of convergence of branching continued fractions of a special type. (Ukrainian. English summary) Zbl 1022.40004 Kovtunets, V. V. (ed.), Approximation theory and its applications. Proceedings of the international conference dedicated to the memory of Vladislav Kirillovich Dzyadyk held in Kiev, Ukraine, May 27-31, 1999. Kyïv: Instytut Matematyky NAN Ukraïny. Pr. Inst. Mat. Nats. Akad. Nauk Ukr., Mat. Zastos. 31, 19-32 (2000). Reviewer: A.M.Gomilko (Kyïv) MSC: 40A15 30B70 PDFBibTeX XMLCite \textit{T. M. Antonova} and \textit{D. I. Bodnar}, in: Teoriya nablyzhennya funktsij ta ïï zastosuvannya. Kyïv: Instytut Matematyky NAN Ukraïny. 19--32 (2000; Zbl 1022.40004)
Šalát, Tibor; Taylor, S. James; Tóth, János T. Radii of convergence of power series. (English) Zbl 0937.40003 Real Anal. Exch. 24(1998-99), No. 1, 263-273 (1999). Reviewer: J.Tkadlec (Praha) MSC: 40A30 30B10 28A05 28A78 PDFBibTeX XMLCite \textit{T. Šalát} et al., Real Anal. Exch. 24, No. 1, 263--273 (1999; Zbl 0937.40003)
Lorentzen, Lisa Convergence criteria for continued fractions \(K(a_n/1)\) based on value sets. (English) Zbl 0945.40001 Berndt, Bruce C. (ed.) et al., Continued fractions: from analytic number theory to constructive approximation. A volume in honor of L. J. Lange. Proceedings of the conference, University of Missouri–Columbia, Columbia, MO, USA, May 20-23, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 236, 205-255 (1999). Reviewer: P.Wynn (México) MSC: 40A15 30D05 30B70 PDFBibTeX XMLCite \textit{L. Lorentzen}, Contemp. Math. 236, 205--255 (1999; Zbl 0945.40001)
Lorentzen, Lisa Properties of limit sets and convergence of continued fractions. (English) Zbl 0824.30001 J. Math. Anal. Appl. 185, No. 2, 229-255 (1994). Reviewer: L.Lorentzen (Trondheim) MSC: 30B70 40A15 30D05 PDFBibTeX XMLCite \textit{L. Lorentzen}, J. Math. Anal. Appl. 185, No. 2, 229--255 (1994; Zbl 0824.30001) Full Text: DOI
Lorentzen, Lisa Circular twin value sets for continued fractions and how they imply convergence. (English) Zbl 0811.30002 Cooper, Clement S. (ed.) et al., Continued fractions and orthogonal functions: theory and applications. Proceedings, 4th workshop, held in Loen, Norway, June 21 - July 4, 1992. Basel: Dekker. Lect. Notes Pure Appl. Math. 154, 305-344 (1994). Reviewer: H.Waadeland (Dragvoll) MSC: 30B70 40A15 PDFBibTeX XMLCite \textit{L. Lorentzen}, Lect. Notes Pure Appl. Math. 154, 305--344 (1994; Zbl 0811.30002)
Lorentzen, Lisa; Ruscheweyh, Stephan Simple convergence sets for continued fractions \(K(a_ n/1)\). (English) Zbl 0801.30003 J. Math. Anal. Appl. 179, No. 2, 349-370 (1993). Reviewer: H.Waadeland (Dragvoll) MSC: 30B70 40A15 PDFBibTeX XMLCite \textit{L. Lorentzen} and \textit{S. Ruscheweyh}, J. Math. Anal. Appl. 179, No. 2, 349--370 (1993; Zbl 0801.30003) Full Text: DOI
Waadeland, Haakon Where do all the values go? Playing with two-element continued fractions. (English) Zbl 0733.11026 Rocky Mt. J. Math. 21, No. 1, 557-576 (1991). Reviewer: H.Waadeland (Dragvoll) MSC: 11K50 30B70 40A15 PDFBibTeX XMLCite \textit{H. Waadeland}, Rocky Mt. J. Math. 21, No. 1, 557--576 (1991; Zbl 0733.11026) Full Text: DOI
Waadeland, Haakon Boundary version of a twin region convergence theorem for continued fractions. (English) Zbl 0741.40003 J. Comput. Appl. Math. 36, No. 3, 361-369 (1991). Reviewer: L.Lorentzen (Trondheim) MSC: 40A15 30B70 PDFBibTeX XMLCite \textit{H. Waadeland}, J. Comput. Appl. Math. 36, No. 3, 361--369 (1991; Zbl 0741.40003) Full Text: DOI
Sedletskij, A. M. Decomposition of an analytic function into a sum of periodic functions. (English. Russian original) Zbl 0581.30002 Math. USSR, Izv. 25, 163-181 (1985); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 4, 833-853 (1984). Reviewer: V.A.Tkachenko MSC: 30B50 30D40 42A50 46E15 40G05 PDFBibTeX XMLCite \textit{A. M. Sedletskij}, Math. USSR, Izv. 25, 163--181 (1985; Zbl 0581.30002); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 48, No. 4, 833--853 (1984) Full Text: DOI
Blel, Mongi Sur les singularités des ensembles analytiques. (On singularities of analytic sets). (French) Zbl 0574.32013 C. R. Acad. Sci., Paris, Sér. I 298, 63-66 (1984). Reviewer: D.Barlet MSC: 32C25 32S05 32U05 32Sxx 32B10 40A10 PDFBibTeX XMLCite \textit{M. Blel}, C. R. Acad. Sci., Paris, Sér. I 298, 63--66 (1984; Zbl 0574.32013)
Batyuk, Yu. R.; Syavavko, M. S. Integral continued fractions. (Russian. English summary) Zbl 0571.40003 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 7, 6-8 (1984). Reviewer: P.Wynn MSC: 40A15 30B70 41A35 34K05 32C30 PDFBibTeX XMLCite \textit{Yu. R. Batyuk} and \textit{M. S. Syavavko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1984, No. 7, 6--8 (1984; Zbl 0571.40003)
Mikhal’chuk, R. I.; Syavavko, M. S. A continual analog of continued fractions. (English. Russian original) Zbl 0579.40001 Ukr. Math. J. 34, 450-455 (1983); translation from Ukr. Mat. Zh. 34, No. 5, 559-564 (1982). Reviewer: P.Wynn MSC: 40A15 30B70 41A35 34K05 32C30 PDFBibTeX XMLCite \textit{R. I. Mikhal'chuk} and \textit{M. S. Syavavko}, Ukr. Math. J. 34, 450--455 (1983; Zbl 0579.40001); translation from Ukr. Mat. Zh. 34, No. 5, 559--564 (1982) Full Text: DOI