Abdullayev, F. G.; Imashkyzy, M.; Özkartepe, P. Approximate properties of the \(p\)-Bieberbach polynomials in regions with simultaneously exterior and interior zero angles. (English) Zbl 1483.30031 Quaest. Math. 44, No. 10, 1409-1426 (2021). MSC: 30C30 30E10 30C70 × Cite Format Result Cite Review PDF Full Text: DOI
Aptekarev, A. I. Convergence of Bieberbach polynomials: Keldysh’s theorems and Mergelyan’s conjecture. (English. Russian original) Zbl 1476.30137 Russ. Math. Surv. 76, No. 3, 379-387 (2021); translation from Usp. Mat. Nauk 76, No. 3, 3-12 (2021). MSC: 30E10 30C10 × Cite Format Result Cite Review PDF Full Text: DOI
Forstnerič, Franc; Wold, Erlend Fornæss Holomorphic families of Fatou-Bieberbach domains and applications to Oka manifolds. (English) Zbl 1470.32078 Math. Res. Lett. 27, No. 6, 1697-1706 (2020). Reviewer: Athanase Papadopoulos (Strasbourg) MSC: 32Q56 32E10 32E30 37F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koşar, Cem Simultaneous approximation of conformal mappings on smooth domains. (English) Zbl 1499.30309 Filomat 33, No. 1, 281-287 (2019). MSC: 30E10 41A10 41A25 41A28 41A30 × Cite Format Result Cite Review PDF Full Text: DOI
Abdullayev, F. G. Uniform convergence of the generalized Bieberbach polynomials in regions with simultaneously exterior and interior zero angles. (English) Zbl 1429.30015 Complex Anal. Oper. Theory 13, No. 6, 2881-2897 (2019). MSC: 30C30 30E10 30C70 × Cite Format Result Cite Review PDF Full Text: DOI
Israfilov, Daniyal M. Simultaneous approximation of the Riemann conformal map and its derivatives by Bieberbach polynomials. (English) Zbl 1379.30025 Hacet. J. Math. Stat. 46, No. 2, 209-216 (2017). MSC: 30E10 30C35 × Cite Format Result Cite Review PDF
Abdullayev, Fahreddin G.; Özkartepe, Pelin N. Uniform convergence of the \(p\)-Bieberbach polynomials in domains with zero angles. (English) Zbl 1364.30013 Sci. China, Math. 58, No. 5, 1063-1078 (2015). Reviewer: Zemin Zhou (Beijing) MSC: 30C30 30E10 30C70 × Cite Format Result Cite Review PDF Full Text: DOI
Oktay, Burcin; Israfilov, Daniyal M. An approximation of conformal mappings on smooth domains. (English) Zbl 1273.30028 Complex Var. Elliptic Equ. 58, No. 6, 741-750 (2013). MSC: 30E10 41A10 30C40 × Cite Format Result Cite Review PDF Full Text: DOI
Abdullayev, F. G.; Özkartepe, N. P. On the improvement of the rate of convergence of the generalized Bieberbach polynomials in domains with zero angles. (English. Russian original) Zbl 1268.30005 Ukr. Math. J. 64, No. 5, 653-671 (2012); translation from Ukr. Mat. Zh. 64, No. 5, 582-596 (2012). MSC: 30C10 30E10 41A17 × Cite Format Result Cite Review PDF Full Text: DOI Link
Abdullayev, Fahreddin G.; Koşar, Cem; Kucukaslan, Mehmet Uniform convergence of extremal polynomials when domains have corners and special cusps on the boundary. (English) Zbl 1254.30037 Adv. Pure Math. 1, No. 6, 305-314 (2011). MSC: 30E10 30C75 × Cite Format Result Cite Review PDF Full Text: DOI
Koşar, Cem; Küçükaslan, Mehmet; Abdullayev, Fahreddin G. Convergence of the \(p\)-Bieberbach polynomials in regions with zero angles. (English) Zbl 1218.30098 Proc. Est. Acad. Sci. 60, No. 2, 104-114 (2011). MSC: 30E10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Oktay, Burcin Approximation by Bieberbach polynomials on a subclass of smooth domains. (English) Zbl 1217.30006 Proc. A. Razmadze Math. Inst. 154, 155-159 (2010). MSC: 30C30 30E10 41A10 × Cite Format Result Cite Review PDF
Skwarczyński, Maciej On the Bieberbach conjecture and Clausen identity. The role of Clausen identity. (English) Zbl 1222.30002 Bull. Soc. Sci. Lett. Łódź 59, Sér. Rech. Déform. 58, 19-32 (2009). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30-06 33C20 33C45 30C50 × Cite Format Result Cite Review PDF
Israfilov, Daniyal M. Approximate properties of the Bieberbach polynomials on the complex domains. (English) Zbl 1163.30020 Aliyev Azeroğlu, Tahir (ed.) et al., Complex analysis and potential theory. Proceedings of the conference satellite to ICM 2006, Gebze, Turkey, September 8–14, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-598-3/hbk). 214-221 (2007). Reviewer: Miloš Čanak (Beograd) MSC: 30E10 × Cite Format Result Cite Review PDF
Koepf, Wolfram Bieberbach’s conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality. (English) Zbl 1186.30001 Ramanujan J. 13, No. 1-3, 103-129 (2007). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30-02 30C50 30C35 30C45 30C80 33C20 33C45 33F10 68W30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Israfilov, D. M.; Yildirird, Y. E. Approximation in weighted Bergman spaces on infinite domains. (English) Zbl 1107.30032 Proc. A. Razmadze Math. Inst. 139, 120-124 (2005). Reviewer: Jürgen Müller (Trier) MSC: 30E10 41A10 30C40 × Cite Format Result Cite Review PDF
Israfilov, D. M. Uniform convergence of the generalized Bieberbach polynomials in closed smooth domains. (English) Zbl 1102.30036 Proc. A. Razmadze Math. Inst. 139, 111-115 (2005). Reviewer: Jan Stankiewicz (Rzeszów) MSC: 30E10 41A10 30C40 30C10 × Cite Format Result Cite Review PDF
Israfilov, Daniyal M. On approximation of conformal maps with slowly growing complex dilatation by the Bieberbach polynomials. (English) Zbl 1077.30004 Rocky Mt. J. Math. 35, No. 3, 869-880 (2005). Reviewer: Vania Mascioni (Muncie) MSC: 30C10 30C30 41A10 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Peters, Han; Wold, Erlend Fornæss Non-autonomous basins of attraction and their boundaries. (English) Zbl 1076.37035 J. Geom. Anal. 15, No. 1, 123-136 (2005). Reviewer: Christophe Dupont (Orsay) MSC: 37F10 32H50 × Cite Format Result Cite Review PDF Full Text: DOI
Israfilov, Daniyal M. Uniform convergence of Bieberbach polynomials in closed Radon domains. (English) Zbl 1052.30037 Analysis, München 23, No. 1, 51-64 (2003). Reviewer: Józef Siciak (Kraków) MSC: 30E10 41A10 × Cite Format Result Cite Review PDF Full Text: DOI
Israfilov, Daniyal M. Uniform convergence of the Bieberbach polynomials in closed smooth domains of bounded boundary rotation. (English) Zbl 1043.30023 J. Approximation Theory 125, No. 1, 116-130 (2003). Reviewer: Jesus Illán González (Vigo) MSC: 30E10 41A10 41A25 × Cite Format Result Cite Review PDF Full Text: DOI
Prokhorov, D. V. Bounded univalent functions. (English) Zbl 1083.30014 Kühnau, R. (ed.), Handbook of complex analysis: geometric function theory. Volume 1. Amsterdam: North Holland (ISBN 0-444-82845-1/hbk ). 207-228 (2002). Reviewer: Zbigniew J. Jakubowski (Łódź) MSC: 30C45 30C50 30C70 × Cite Format Result Cite Review PDF
Todorov, P. G. On the Askey and Gasper polynomials and the de Branges weight functions. (English) Zbl 1003.30003 C. R. Acad. Bulg. Sci. 55, No. 2, 9-12 (2002). MSC: 30C10 30C50 12E10 33C45 × Cite Format Result Cite Review PDF
Todorov, Pavel G. Taylor series of the natural powers of the Pick function and applications. (English) Zbl 1274.30001 Publ. Inst. Math., Nouv. Sér. 69(83), 101-107 (2001). MSC: 30B10 30C50 30C10 33C05 × Cite Format Result Cite Review PDF
Chen, T. G. A class of Fatou-Bieberbach domain in \(\mathbb{C}^3\). (English) Zbl 1081.37520 Math. Sci. Res. Hot-Line 5, No. 12, 39-45 (2001). MSC: 37F50 37F10 × Cite Format Result Cite Review PDF
Abdullayev, F. G.; Baki, A. On the convergence of Bieberbach polynomials in domains with interior zero angles. (English) Zbl 1022.30042 Complex Variables, Theory Appl. 44, No. 2, 131-143 (2001). MSC: 30E10 30C35 30C75 × Cite Format Result Cite Review PDF Full Text: DOI
Israfilov, D. M. Approximation by \(p\)-Faber polynomials in the weighted Smirnov class \(E^p(G,\omega)\) and the Bieberbach polynomials. (English) Zbl 0987.41016 Constructive Approximation 17, No. 3, 335-351 (2001). Reviewer: Jürgen Müller (Trier) MSC: 41A58 41A25 41A10 41A30 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
Cavus, Abdullah; Abdullayev, Fahreddin G. On the uniform convergence of the generalized Bieberbach polynomials in regions with K-quasiconformal boundary. (English) Zbl 0979.30022 Approximation Theory Appl. 17, No. 1, 97-105 (2001). Reviewer: J.Siciak (Kraków) MSC: 30E10 30C10 30C20 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Tingfan; Zhou, Songping; Zhu, Laiyi Approximation properties of a class of extremal polynomials over smooth Jordan curves. (English) Zbl 1020.30043 J. Math. Res. Expo. 21, No. 2, 185-190 (2001). Reviewer: J.Siciak (Kraków) MSC: 30E10 41A10 41A25 30E15 × Cite Format Result Cite Review PDF
Fukushima, Yukio Hénon mapping of complex \(n\)-space in complex \(n\)-space. (English) Zbl 1032.37031 Begehr, Heinrich G. W. (ed.) et al., Proceedings of the second ISAAC congress. Vol. 1. Proceedings of the International Society for Analysis, its Applications and Computation congress, Fukuoka, Japan, August 16-21, 1999. Dordrecht: Kluwer Academic Publishers. Int. Soc. Anal. Appl. Comput. 7, 337-345 (2000). MSC: 37F10 32H50 39B12 × Cite Format Result Cite Review PDF
Abdullayev, F. G. Uniform convergence of the generalized Bieberbach polynomials in domains of complex plane. (English. English summary) Zbl 1025.30020 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, 5-18 (2000). Reviewer: A.M.Gomilko (Kyïv) MSC: 30C70 30E10 × Cite Format Result Cite Review PDF
Andrievskii, V. V.; Pritsker, I. E. Convergence of Bieberbach polynomials in domains with interior cusps. (English) Zbl 0973.30010 J. Anal. Math. 82, 315-332 (2000). Reviewer: J.Siciak (Kraków) MSC: 30C20 30E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sibony, Nessim Dynamics of rational maps on \(\mathbb P^k\). (Dynamique des applications rationnelles de \(\mathbb P^k\).) (French) Zbl 1020.37026 Cerveau, Dominique et al., Dynamique et géométrie complexes. Paris: Société Mathématique de France. Panor. Synth. 8, 97-185 (1999). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 37F10 37F50 32H50 32U15 × Cite Format Result Cite Review PDF
Andrievskii, Vladimir; Blatt, Hans-Peter Erdős-Turán type theorems on quasiconformal curves and arcs. (English) Zbl 0918.30006 J. Approximation Theory 97, No. 2, 334-365 (1999). Reviewer: D.Gaier (Gießen) MSC: 30C15 × Cite Format Result Cite Review PDF Full Text: DOI
Israfilov, D. M. Uniform convergence of some extremal polynomials in domains with quasi-conformal boundary. (English) Zbl 0920.30030 East J. Approx. 4, No. 4, 527-539 (1998). Reviewer: G.Nikolov (Sofia) MSC: 30E10 41A10 30C62 × Cite Format Result Cite Review PDF
Gaier, D. On the convergence of the Bieberbach polynomials inside the domain: Research problems 97-1. (English) Zbl 0867.30003 Constructive Approximation 13, No. 1, 153-154 (1997). Reviewer: M.Hervé (Paris) MSC: 30C10 × Cite Format Result Cite Review PDF Full Text: DOI
Abdullaev, F. G. Approximation properties of generalized Bieberbach polynomials in domains with a piecewise quasiconformal boundary. (Russian) Zbl 0929.30014 Dopov. Akad. Nauk Ukr. 1997, No. 2, 19-23 (1997). MSC: 30C62 41A10 30E10 × Cite Format Result Cite Review PDF
Koepf, Wolfram; Schmersau, Dieter On the De Branges theorem. (English) Zbl 0882.30010 Complex Variables, Theory Appl. 31, No. 3, 213-230 (1996). Reviewer: Renate McLaughlin (Flint) MSC: 30C50 33C45 30C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Smith, H. V. Some results/open questions in the theory of bi-univalent functions. (English) Zbl 0829.30008 J. Inst. Math. Comput. Sci., Math. Ser. 7, No. 3, 185-195 (1994). Reviewer: Z.J.Jakubowski (Łódź) MSC: 30C50 30C45 × Cite Format Result Cite Review PDF
Wilf, Herbert S. A footnote on two proofs of the Bieberbach-de Branges theorem. (English) Zbl 0796.30014 Bull. Lond. Math. Soc. 26, No. 1, 61-63 (1994). Reviewer: Renate McLaughlin (Flint) MSC: 30C50 33C99 × Cite Format Result Cite Review PDF Full Text: DOI
Henrici, Peter Applied and computational complex analysis. Volume III: Discrete Fourier analysis, Cauchy integrals, construction of conformal maps, univalent functions. Reprint. (English) Zbl 1107.30300 Wiley Classics Library. New York, NY: Wiley (ISBN 0-471-58986-1). 638 p. (1993). MSC: 30-01 30C30 65E05 × Cite Format Result Cite Review PDF
Pritsker, I. E. On the convergence of Bieberbach polynomials in domains with interior zero angles. (English) Zbl 0790.30023 Gonchar, A. A. (ed.) et al., Methods of approximation theory in complex analysis and mathematical physics. Selected papers of international seminars on “Methods of approximation theory in complex analysis and mathematical physics” held in Leningrad, Russia, May 13-26, 1991. Berlin: Springer-Verlag. Lect. Notes Math. 1550, 169-172 (1993). Reviewer: K.Menke (Dortmund) MSC: 30E10 30C70 30C40 × Cite Format Result Cite Review PDF
Gaier, Dieter On the convergence of the Bieberbach polynomials in regions with piecewise analytic boundary. (English) Zbl 0723.30008 Arch. Math. 58, No. 5, 462-470 (1992). Reviewer: D.Gaier (Giessen) MSC: 30C30 × Cite Format Result Cite Review PDF Full Text: DOI
Kulikov, I. V. On new estimates of the rate of convergence of Bieberbach polynomials. (Russian) Zbl 0762.30015 Izv. Sev.-Kavk. Nauchn. Tsentra Vyssh. Shk., Estestv. Nauki 1991, No. 4(76), 61-66 (1991). Reviewer: A.I.Khejfits (Rostov-na-Donu) MSC: 30E10 × Cite Format Result Cite Review PDF
Vasyunin, V. I.; Nikol’skij, N. K. Operator-valued measures and coefficients of univalent functions. (English. Russian original) Zbl 0791.30010 St. Petersbg. Math. J. 3, No. 6, 1199-1270 (1992); translation from Algebra Anal. 3, No. 6, 1-75 (1991). MSC: 30C50 30C55 30C75 30C80 × Cite Format Result Cite Review PDF
Vasyunin, V. I.; Nikol’skij, N. K. Operator measures and coefficients of univalent functions. (Russian) Zbl 0757.30020 Algebra Anal. 3, No. 6, 1-75 (1991). Reviewer: E.Złotkiewicz (Lublin) MSC: 30C50 30C55 30C75 30C80 × Cite Format Result Cite Review PDF
Papamichael, N.; Saff, E. B.; Gong, J. Asymptotic behaviour of zeros of Bieberbach polynomials. (English) Zbl 0726.30008 J. Comput. Appl. Math. 34, No. 3, 325-342 (1991). Reviewer: D.Gaier (Gießen) MSC: 30C15 30C30 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
Israfilov, D. M. Approximation of the Riemann function by extremal polynomials. (Russian) Zbl 0732.30032 Special questions of function theory, 4, Baku, 101-122 (1989). Reviewer: J.Siciak (Kraków) MSC: 30E10 41A10 × Cite Format Result Cite Review PDF
Gaier, Dieter On the convergence of the Bieberbach polynomials in regions with corners. (English) Zbl 0645.30002 Constructive Approximation 4, No. 3, 289-305 (1988). Reviewer: R.Kühnau MSC: 30C30 30E10 30C70 × Cite Format Result Cite Review PDF Full Text: DOI
Padmanabhan, K. S. The history of Bieberbach’s conjecture and its recent solution. (English) Zbl 0711.30015 Math. Stud. 53 (1985), No. 1-4, 209-216 (1987). Reviewer: D.Aharonov MSC: 30C50 30C45 × Cite Format Result Cite Review PDF
Henrici, Peter Applied and computational complex analysis. Volume 3: Discrete Fourier analysis - Cauchy integrals - Construction of conformal maps - Univalent functions. (English) Zbl 0578.30001 Pure and Applied Mathematics. A Wiley-Interscience Publication. New York etc.: John Wiley & Sons. XIII, 637 p. £61.35; 3-vol. set: £172.90; $ 224.00 (1986). Reviewer: W.Niethammer MSC: 30-01 30C30 65E05 × Cite Format Result Cite Review PDF
Koornwinder, Tom H. A group theoretic interpretation of the last part of de Branges’ proof of the Bieberbach conjecture. (English) Zbl 0565.30011 Complex Variables, Theory Appl. 6, 309-321 (1986). Reviewer: Ch.F.Dunkl MSC: 30C50 30C45 × Cite Format Result Cite Review PDF Full Text: DOI Link
Andrievskij, V. V. On the uniform convergence of Bieberbach polynomials in domains with a piecewise quasiconformal boundary. (Russian) Zbl 0576.30031 Theory of mappings and approximation of functions, Collect. sci. Work, Kiev 1983, 3-18 (1983). Reviewer: K.Barckow MSC: 30E10 × Cite Format Result Cite Review PDF
Andrievskij, V. V. Convergence of Bieberbach polynomials in domains with quasiconformal boundary. (English. Russian original) Zbl 0536.30006 Ukr. Math. J. 35, 233-236 (1983); translation from Ukr. Mat. Zh. 35, No. 3, 273-277 (1983). Reviewer: G.Bourion MSC: 30C20 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
Andrievskij, V. V. Uniform convergence of the Bieberbach polynomials in domains with zero angles. (Russian) Zbl 0492.30030 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1982, No. 4, 3-5 (1982). MSC: 30E10 30C10 33C45 30C35 42C10 × Cite Format Result Cite Review PDF
Kulikov, I. V. \(W_2^1\), \(L_\infty\)-convergence of Bieberbach polynomials in a Lipschitz domain. (English) Zbl 0504.30004 Russ. Math. Surv. 36, No. 5, 161-162 (1981). MSC: 30C35 × Cite Format Result Cite Review PDF Full Text: DOI
Kulikov, I. V. \(W_2^1,L_\infty\)-convergence of Bieberbach polynomials in Lipschitz domain. (Russian) Zbl 0475.30010 Usp. Mat. Nauk 36, No. 5(221), 177-178 (1981). MSC: 30C35 × Cite Format Result Cite Review PDF
Kulikov, I. V. \(L_p\)-convergence of Bieberbach polynomials. (English) Zbl 0443.30049 Math. USSR, Izv. 15, 349-371 (1980). MSC: 30E10 × Cite Format Result Cite Review PDF Full Text: DOI
Kulikov, I. V. \(L_p\)-Konvergenz Bieberbachscher Polynome. (Russian) Zbl 0427.30032 Izv. Akad. Nauk SSSR, Ser. Mat. 43, 1121-1144 (1979). MSC: 30E10 × Cite Format Result Cite Review PDF
Simonenko, I. B. On the convergence of Bieberbach polynomials in the case of a Lipschitz domain. (English) Zbl 0425.30032 Math. USSR, Izv. 13, 166-174 (1979). MSC: 30E10 30C35 30C10 30C70 × Cite Format Result Cite Review PDF Full Text: DOI