An extension of the univalence criterion for a family of integral operators

Erhan Deniz, Halit Orhan


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.


Integral operator; analytic functions; univalent functions; open unit disk; univalence criterion

Full Text:



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.

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

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.

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

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

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

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

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

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

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.

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

Data publikacji: 2016-07-29 10:39:55
Data złożenia artykułu: 2016-07-28 22:08:34


  • There are currently no refbacks.

Copyright (c) 2010 Erhan Deniz, Halit Orhan