The classes of univalent functions connected with homographies
Annales Polonici Mathematici (1991)
- Volume: 55, Issue: 1, page 349-355
- ISSN: 0066-2216
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topKajetan Tochowicz. "The classes of univalent functions connected with homographies." Annales Polonici Mathematici 55.1 (1991): 349-355. <http://eudml.org/doc/262267>.
@article{KajetanTochowicz1991,
abstract = {We define some new classes of univalent functions. The Schiffer differential equations are obtained for extremal functions from some of these classes.},
author = {Kajetan Tochowicz},
journal = {Annales Polonici Mathematici},
keywords = {Gelfer functions; Bieberbach-Eilenberg functions; Schiffer differential},
language = {eng},
number = {1},
pages = {349-355},
title = {The classes of univalent functions connected with homographies},
url = {http://eudml.org/doc/262267},
volume = {55},
year = {1991},
}
TY - JOUR
AU - Kajetan Tochowicz
TI - The classes of univalent functions connected with homographies
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 349
EP - 355
AB - We define some new classes of univalent functions. The Schiffer differential equations are obtained for extremal functions from some of these classes.
LA - eng
KW - Gelfer functions; Bieberbach-Eilenberg functions; Schiffer differential
UR - http://eudml.org/doc/262267
ER -
References
top- [1] J. A. Hummel and M. M. Schiffer, Variational methods for Bieberbach-Eilenberg functions and for pairs, Ann. Acad. Sci. Fenn. Ser. AI Math. 3 (1977), 3-52. Zbl0379.30011
- [2] I. Kra, Automorphic Forms and Kleinian Groups, Benjamin, Reading, Mass., 1972. Zbl0253.30015
- [3] J. Krzyż and J. Ławrynowicz, Elements of Complex Analysis, WNT, Warszawa 1981 (in Polish). Zbl0516.30002
- [4] H. L. Royden, The coefficient problems for bounded schlicht functions, Proc. Nat. Acad. Sci. U.S.A. 11 (1949), 657-662. Zbl0041.40802
- [5] S. Saks and A. Zygmund, Analytic Functions, PWN, Warszawa 1953.
- [6] A. C. Schaeffer and D. C. Spencer, Coefficient Regions for Schlicht Functions, Amer. Math. Soc., New York 1950. Zbl0049.06003
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