Verschelde, Jan; Viswanathan, Kylash Extrapolating solution paths of polynomial homotopies towards singularities with PHCpack and Phcpy. (English) Zbl 07943846 Buzzard, Kevin (ed.) et al., Mathematical software – ICMS 2024. 8th international conference, Durham, UK, July 22–25, 2024. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 14749, 365-374 (2024). MSC: 68W30 65Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krivosheev, A. S.; Krivosheeva, O. A. Domain of existence of the sum of a series of exponential monomials. (English. Russian original) Zbl 1526.30006 Math. Notes 114, No. 4, 508-521 (2023); translation from Mat. Zametki 114, No. 4, 563-578 (2023). MSC: 30B50 × Cite Format Result Cite Review PDF Full Text: DOI
Eid, Salah The dawn of martingale convergence: Jessen’s theorem and Lévy’s lemma. (English) Zbl 1523.60075 Mazliak, Laurent (ed.) et al., The splendors and miseries of martingales. Their history from the casino to mathematics. Cham: Birkhäuser. Trends Hist. Sci., 67-104 (2022). MSC: 60G42 60G44 01A60 × Cite Format Result Cite Review PDF Full Text: DOI
Verschelde, Jan; Viswanathan, Kylash Locating the closest singularity in a polynomial homotopy. (English) Zbl 1507.14084 Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 333-352 (2022). MSC: 14Q65 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rowe, David E. Models from the nineteenth century used for visualizing optical phenomena and line geometry. (English) Zbl 1508.00013 Friedman, Michael (ed.) et al., Model and mathematics: from the 19th to the 21st century. Cham: Birkhäuser. Trends Hist. Sci., 177-202 (2022). MSC: 00A66 00A71 51-03 51-11 01A55 × Cite Format Result Cite Review PDF Full Text: DOI
Timme, Sascha Mixed precision path tracking for polynomial homotopy continuation. (English) Zbl 1487.65057 Adv. Comput. Math. 47, No. 5, Paper No. 75, 23 p. (2021). MSC: 65H20 65H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krivosheev, A. S.; Krivosheeva, O. A. Invariant spaces of entire functions. (English. Russian original) Zbl 1483.46021 Math. Notes 109, No. 3, 413-426 (2021); translation from Mat. Zametki 109, No. 3, 380-396 (2021). Reviewer: Enrique Jordá (Alicante) MSC: 46E10 30B60 30D15 30H99 × Cite Format Result Cite Review PDF Full Text: DOI
Krivosheeva, O. A.; Krivosheev, A. S. An existence domain of the sum of exponential monomials series. (English. Russian original) Zbl 1468.30016 Russ. Math. 65, No. 3, 51-60 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 3, 56-66 (2021). MSC: 30B50 × Cite Format Result Cite Review PDF Full Text: DOI
Telen, Simon; Van Barel, Marc; Verschelde, Jan A robust numerical path tracking algorithm for polynomial homotopy continuation. (English) Zbl 1457.65023 SIAM J. Sci. Comput. 42, No. 6, A3610-A3637 (2020). MSC: 65H20 65H04 65H10 41A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krivosheev, Aleksandr S.; Krivosheeva, Olesya A. The distribution of singular points of the sum of a series of exponential monomials on the boundary of its domain of convergence. (English. Russian original) Zbl 1441.30005 Sb. Math. 211, No. 1, 55-114 (2020); translation from Mat. Sb. 211, No. 1, 60-124 (2020). MSC: 30B50 × Cite Format Result Cite Review PDF Full Text: DOI
Tuychiev, Taxir T. On domains of convergence of multidimensional lacunary series. (English) Zbl 1534.30001 J. Sib. Fed. Univ., Math. Phys. 12, No. 6, 736-746 (2019). MSC: 30B10 32A10 31C10 32U05 30C85 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Aroca, Fuensanta; Rond, Guillaume Support of Laurent series algebraic over the field of formal power series. (English) Zbl 1419.13039 Proc. Lond. Math. Soc. (3) 118, No. 3, 577-605 (2019). Reviewer: Ali Benhissi (Monastir) MSC: 13F25 06A05 13J05 11J25 11J61 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krivosheeva, O. A.; Krivosheev, A. S. Singular points for the sum of a series of exponential monomials. (English) Zbl 1415.30024 Probl. Anal. Issues Anal. 7(25), Spec. Iss., 72-87 (2018). MSC: 30D10 × Cite Format Result Cite Review PDF Full Text: DOI MNR
López Lagomasino, G.; Zaldivar Gerpe, Y. Higher order recurrences and row sequences of Hermite-Padé approximation. (English) Zbl 1412.30124 J. Difference Equ. Appl. 24, No. 11, 1830-1845 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 30E10 65Q30 41A21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
López Lagomasino, Guillermo; Zaldivar Gerpe, Yanely Inverse results on row sequences of Hermite-Padé approximation. (English. Russian original) Zbl 1390.41017 Proc. Steklov Inst. Math. 298, 152-169 (2017); translation from Tr. Mat. Inst. Steklova 298, 165-184 (2017). Reviewer: Francisco Marcellán (Leganes) MSC: 41A21 30E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arakelian, N. H. Power series: localization of singularities on the boundary of the disk of convergence. (English) Zbl 1381.30003 J. Contemp. Math. Anal., Armen. Acad. Sci. 52, No. 5, 227-241 (2017) and Izv. Nats. Akad. Nauk Armen., Mat. 52, No. 5, 3-24 (2017). MSC: 30B30 30B10 30B40 × Cite Format Result Cite Review PDF Full Text: DOI
Krivosheeva, O. A.; Krivosheev, A. S. Singular points of the sum of a Dirichlet series on the convergence line. (English. Russian original) Zbl 1325.30002 Funct. Anal. Appl. 49, No. 2, 122-134 (2015); translation from Funkts. Anal. Prilozh. 49, No. 2, 54-69 (2015). MSC: 30B50 × Cite Format Result Cite Review PDF Full Text: DOI
Bell, Jason P.; Lagarias, Jeffrey C. \(3x+1\) inverse orbit generating functions almost always have natural boundaries. (English) Zbl 1332.30004 Acta Arith. 170, No. 2, 101-120 (2015). Reviewer: Marek Jarnicki (Kraków) MSC: 30B40 30B10 11B37 11B83 11K31 26A18 37A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zikkos, Elias Solutions of infinite order differential equations without the grouping phenomenon and a generalization of the Fabry-Pólya theorem. (English) Zbl 1301.30002 J. Math. Anal. Appl. 423, No. 2, 1825-1837 (2015). MSC: 30B50 34M99 × Cite Format Result Cite Review PDF Full Text: DOI
Mkrtchyan, Aleksandr D. Power series nonextendable across the boundary of their convergence domain. (English) Zbl 1522.30002 J. Sib. Fed. Univ., Math. Phys. 6, No. 3, 329-335 (2013). MSC: 30B10 30B40 × Cite Format Result Cite Review PDF Full Text: MNR
Suetin, S. P. Numerical analysis of some characteristics of the limit cycle of the free van der Pol equation. (English. Russian original) Zbl 1307.34023 Proc. Steklov Inst. Math. 278, Suppl. 1, S1-S54 (2012); translation from Sovrem. Probl. Mat. 14, 3-57 (2010). MSC: 34A25 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Changgui The power series \(1+\frac z{\Gamma(1+i)}+\frac{z^2}{\Gamma (1+2i)}+\frac{z^3}{\Gamma(1+3i)}+\cdots\) has a natural boundary! (La série entière \(1+\frac z{\Gamma(1+i)}+\frac{z^2}{\Gamma (1+2i)}+\frac{z^3}{\Gamma(1+3i)}+\cdots\) possède une frontière naturelle!) (French) Zbl 1236.30004 C. R., Math., Acad. Sci. Paris 349, No. 9-10, 519-522 (2011). Reviewer: D. A. Brannan (Milton Keynes) MSC: 30B10 30B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Breuer, Jonathan; Simon, Barry Natural boundaries and spectral theory. (English) Zbl 1219.30001 Adv. Math. 226, No. 6, 4902-4920 (2011). Reviewer: D. A. Brannan (Milton Keynes) MSC: 30B30 35P05 30B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Buslaev, V. I. On the Fabry ratio theorem for orthogonal series. (English. Russian original) Zbl 1351.30019 Proc. Steklov Inst. Math. 253, 8-21 (2006); translation from Tr. Mat. Inst. Steklova 253, 14-29 (2006). MSC: 30E05 41A58 40A05 × Cite Format Result Cite Review PDF Full Text: DOI
Roux, D. Sui punti singolari delle serie di potenze. (Italian) Zbl 0118.29502 Rend. Sem. Mat. Fis. Milano 30, 110-129 (1960). × Cite Format Result Cite Review PDF Full Text: DOI
Delange, Hubert Sur les points singuliers de la fonction definie par une intégrale de Laplace-Stieltjes. (French) Zbl 0144.36903 J. Anal. Math. 5, 1-33 (1957). × Cite Format Result Cite Review PDF Full Text: DOI
Schwartz, Laurent Approximation d’une fonction quelconque par des sommes d’exponentielles imaginaires. (French) Zbl 0061.13602 Ann. Fac. Sci. Univ. Toulouse, IV. Ser. 6, 111-176 (1943). Reviewer: G. Bourion MSC: 42-XX × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML