This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Dov Aharonov, A generalization of a theorem of J.A. Jenkins, Math. Z. 110 (1969), 218–222.
Dov Aharonov and W.E. Kirwan, A method of symmetrization and applications, Trans. Amer. Math. Soc. 163 (1972), 369–377.
D. Aharonov and M. Lavie, Disjoint meromorphic functions and nonoscillatory differential systems, Trans. Amer. Math. Soc. 188 (1974), 1–14.
V. N. Dubinin, Symmetrization in the geometric theory of functions of a complex variable, Russian Math. Surveys 49 (1994), 1–79.
Maria Fait and Eligiusz Złotkiewicz, A variational method for Grunsky functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 34 (1980), 9–18.
A. W. Goodman, Univalent Functions, Vol. 2, Mariner Publishing Co., 1983.
A. Z. Grinshpan, Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domains, Handbook of Complex Analysis: Geometric Function Theory, Vol. 1, ed. R. Kühnau, Elsevier, 2002, pp. 273–332.
J. A. Hummel, Inequalities of Grunsky type for Aharonov pairs, J. Analyse Math. 25 (1972), 217–257.
J. A. Hummel, The b 1 ,b 2 coefficient body for Bieberbach-Eilenberg functions, J. Analyse Math. 33 (1978), 168–190.
J. A. Hummel, The second coefficient of univalent Bieberbach-Eilenberg functions near the identity, Proc. Amer. Math. Soc. 90 (1980), 237–243.
Halina Jondro, Sur une méthode variationelle dans la famille des fonctions de Grunsky-Shah, Bull. Acad. Polon. Sci. Sér. Sci. Math. 27 (1979), 541–547.
S. Kirsch, Univalent functions with range restrictions, Z. Anal. Anwendungen 19 (2000), 1057–1073.
R. Kühnau, Variation of diametrically symmetric or elliptically schlicht conformal mappings, J. Analyse Math. 89 (2003), 303–316.
Moshe Marcus, Radial averaging of domains for Dirichlet integrals and applications, J. Analyse Math. 27 (1974), 47–78.
Zeev Nehari, Some inequalities in the theory of functions, Trans. Amer. Math. Soc. 75 (1953), 256–286.
Zeev Nehari, Some function-theoretic aspects of linear second-order differential equations, J. Analyse Math. 18 (1967), 259–276.
A. Rost and J. Śladkowska, Sur le fonction de Bieberbach-Eilenberg satifaisant à deux au moins équations du type de Schiffer, Demonstratio Math. 27 (1994), 253–270.
J. Śladkowska, A variational method for generalized Gel’fer functions, Mathematica (Cluj) 36 (59) (1994), 229–238.
Leon A. Takhtajan and Lee-Peng Teo, Weil-Petersson Metric on the Universal Teichmüller Space, Mem. Amer. Math. Soc. 183 (2006), No. 861. Dov Aharonov
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer Science+Business Media New York
About this chapter
Cite this chapter
Aharonov, D. (2014). [116] (with J. A. Hummel) Variational methods for Bieberbach-Eilenberg functions and for pairs. In: Duren, P., Zalcman, L. (eds) Menahem Max Schiffer: Selected Papers Volume 2. Contemporary Mathematicians. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-7949-9_17
Download citation
DOI: https://doi.org/10.1007/978-1-4614-7949-9_17
Published:
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4614-7948-2
Online ISBN: 978-1-4614-7949-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)