On univalence of an integral operator
Annales UMCS, Mathematica (2009)
- Volume: 63, Issue: 1, page 117-132
- ISSN: 2083-7402
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topSzymon Ignaciuk. "On univalence of an integral operator." Annales UMCS, Mathematica 63.1 (2009): 117-132. <http://eudml.org/doc/267571>.
@article{SzymonIgnaciuk2009,
abstract = {We consider the problem of univalence of the integral operator [...] Imposing on functions f(z), g(z) various conditions and making use of a close-to-convexity property of the operator, we establish many suffcient conditions for univalence. Our results extend earlier ones. Some questions remain open.},
author = {Szymon Ignaciuk},
journal = {Annales UMCS, Mathematica},
keywords = {Univalence; integral operator; close-to-convex; univalent function; close-to-convex function},
language = {eng},
number = {1},
pages = {117-132},
title = {On univalence of an integral operator},
url = {http://eudml.org/doc/267571},
volume = {63},
year = {2009},
}
TY - JOUR
AU - Szymon Ignaciuk
TI - On univalence of an integral operator
JO - Annales UMCS, Mathematica
PY - 2009
VL - 63
IS - 1
SP - 117
EP - 132
AB - We consider the problem of univalence of the integral operator [...] Imposing on functions f(z), g(z) various conditions and making use of a close-to-convexity property of the operator, we establish many suffcient conditions for univalence. Our results extend earlier ones. Some questions remain open.
LA - eng
KW - Univalence; integral operator; close-to-convex; univalent function; close-to-convex function
UR - http://eudml.org/doc/267571
ER -
References
top- Dorff, M., Szynal, J., Linear invariance and integral operators of univalent functions, Demonstratio Math. 38 (2005), 47-57. Zbl1076.30022
- Godula, J., On univalence of an certain integral, Ann. Univ. Mariae Curie-Skłodowska Sect. A 33 (1979), 69-76 (1981).
- Goodman, A. W., Univalent Functions, vol. II, Mariner Pub. Co., Inc., Tampa, Florida, 1983.
- Merkes, E. P., Wright, D. J. On the univalence of a certain integral, Proc. Amer. Math. Soc. 27 (1971), 97-100. Zbl0221.30012
- Royster, W. C., On the univalence of a certain integral, Michigan Math. J. 12 (1965), 385-387. Zbl0193.37301
- Wesolowski, A., Selected questions of p-valence and quasiconformal extensions of meromorphic functions in circular regions, Wydawnictwo UMCS, Lublin, 1990 (Polish).
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