# 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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