Geodesic
An extension of the univalence criterion for a family of integral operators
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 54 (2010) no. 2.

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The main object of the present paper is to extend the univalence condition for a family of integral operators. Relevant connections of some of the results obtained in this paper with those in earlier works are also provided.
Keywords: Integral operator, analytic functions, univalent functions, open unit disk, univalence criterion 
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Deniz, Erhan; Orhan, Halit. An extension of the univalence criterion for a family of integral operators. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 54 (2010) no. 2. http://geodesic.mathdoc.fr/item/AUM_2010_54_2_a0/

[1] Breaz, D., Breaz, N., The univalent conditions for an integral operator on the classes \(\mathcal{S}(p)\) and \(\mathcal{T}_{2}\), J. Approx. Theory Appl. 1(2) (2005), 93-98.

[2] Breaz, D., Breaz, N., Sufficient univalence conditions for analytic functions, J. Inequal. Appl. 2007 (2007), Article ID 86493, 5 pp.

[3] Breaz, D., Breaz, N. and Srivastava, H. M., An extension of the univalent condition for a family of integral operators, Appl. Math. Lett. 22 (2009), 41-44.

[4] Frasin, B. A., A note on certain analytic and univalent functions, Southeast Asian Bull. Math. 28(5) (2004), 829-836.

[5] Kim, Y. J., Merkes, E. P., On an integral of powers of a spirallike function, Kyungpook Math. J. 12 (1972), 249-252.

[6] Frasin, B. A., Darus, M., On certain analytic univalent functions, Int. J. Math. Math. Sci. 25(5) (2001), 305-310.

[7] Nehari, Z., Conformal Mapping, Dover Publications, Inc., New York, 1975.

[8] Ozaki, S., Nunokawa, M., The Schwarzian derivative and univalent functions, Proc. Amer. Math. Soc. 33 (1972), 392-394.

[9] Pascu, N. N., Pescar, V., On the integral operators of Kim-Merkes and of Pfaltzgraff, Mathematica (Cluj) 32(55), no. 2 (1990) 185-192.

[10] Pascu, N., An improvement of Becker’s univalence criterion, Proceedings of the Commemorative Session Simion Stoilow (Bra¸sov, 1987), 43-98, Univ. Brasov, Brasov, 1987.

[11] Seenivasagan, N., Breaz, D., Certain sufficient conditions for univalence, Gen. Math. 15(4) (2007), 7-15.