On semi-typically real functions
Leopold Koczan; Katarzyna Trąbka-Więcław
Annales UMCS, Mathematica (2009)
- Volume: 63, Issue: 1, page 139-148
- ISSN: 2083-7402
Access Full Article
top
Abstract
topHow to cite
topLeopold Koczan, and Katarzyna Trąbka-Więcław. "On semi-typically real functions." Annales UMCS, Mathematica 63.1 (2009): 139-148. <http://eudml.org/doc/267841>.
@article{LeopoldKoczan2009,
abstract = {Suppose that A is the family of all functions that are analytic in the unit disk Δ and normalized by the condition [...] For a given A ⊂ A let us consider the following classes (subclasses of A): [...] and [...] where [...] and S consists of all univalent members of A.In this paper we investigate the case A = τ, where τ denotes the class of all semi-typically real functions, i.e. [...] We study relations between these classes. Furthermore, we find for them sets of variability of initial coeffcients, the sets of local univalence and the sets of typical reality.},
author = {Leopold Koczan, Katarzyna Trąbka-Więcław},
journal = {Annales UMCS, Mathematica},
keywords = {Typically real functions; sets of variability of coeffcients; typically real functions},
language = {eng},
number = {1},
pages = {139-148},
title = {On semi-typically real functions},
url = {http://eudml.org/doc/267841},
volume = {63},
year = {2009},
}
TY - JOUR
AU - Leopold Koczan
AU - Katarzyna Trąbka-Więcław
TI - On semi-typically real functions
JO - Annales UMCS, Mathematica
PY - 2009
VL - 63
IS - 1
SP - 139
EP - 148
AB - Suppose that A is the family of all functions that are analytic in the unit disk Δ and normalized by the condition [...] For a given A ⊂ A let us consider the following classes (subclasses of A): [...] and [...] where [...] and S consists of all univalent members of A.In this paper we investigate the case A = τ, where τ denotes the class of all semi-typically real functions, i.e. [...] We study relations between these classes. Furthermore, we find for them sets of variability of initial coeffcients, the sets of local univalence and the sets of typical reality.
LA - eng
KW - Typically real functions; sets of variability of coeffcients; typically real functions
UR - http://eudml.org/doc/267841
ER -
References
top- Duren, P. L., Univalent Functions, Springer-Verlag, New York, 1983.
- Goluzin, G. M., On typically real functions, Mat. Sb. 27(69) (1950), 201-218 (Russian).
- Goodman, A. W., Univalent Functions, Mariner Publ. Co., Tampa, 1983.
- Koczan, L., On classes generated by bounded functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 52, no. 2 (1998), 95-101.
- Koczan, L., Szapiel, W., Extremal problems in some classes of measures. IV. Typically real functions, Ann. Univ. Mariae Curie-Skłodowska Sect. A 43 (1989), 55-68 (1991). Zbl0743.30023
- Koczan, L., Zaprawa, P., Koebe domains for the classes of functions with ranges included in given sets, J. Appl. Anal. 14, no. 1 (2008), 43-52. Zbl1153.30012
- Koczan, L., Zaprawa, P., On typically real functions with n-fold symmetry, Ann. Univ. Mariae Curie-Skłodowska Sect. A 52, no. 2 (1998), 103-112. Zbl1010.30019
- Zaprawa, P., On typically real bounded functions with n-fold symmetry, Folia Scientiarum Universitatis Technicae Resoviensis, Mathematics 21, no. 162 (1997), 151-160. Zbl0888.30014
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.