Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 7 (2012), 116 -- 124


Laura Stanciu and Daniel Breaz

Abstract. Using the Hadamard product, we define two new integral operators. The main object of the present paper is to discuss some univalence conditions for these operators. Several corollaries of the main results are also considered.

2010 Mathematics Subject Classification: Primary 30C45; Secondary 30C75.
Keywords: Analytic functions; Univalence conditions; Integral Operators; General Schwarz Lemma.

Full text


  1. Z. Nehari, Conformal mapping, McGraw-Hill Book Company, New York, 1952. MR45823(13,640h)30.0X. Zbl 0048.31503.

  2. V. Pescar, A new generalization of Ahlfors's and Becker's criterion of univalence, Bull. Malaysian Math. Soc. (Second Series) 19 (1996), 53-54. Zbl 0880.30020.

  3. V. Singh, On a class of univalent functions, Internat. J. Math. Math. Sci. 23(2000), 855-857. MR1769871(2001b:30025). Zbl 0962.30004.

  4. D. Yang and J. Liu, On a class of univalent functions, Int. J. Math. Math. Sci. 22(3)(1999), 605-610. MR1717183(2000h:30025). Zbl 0963.30008.

Laura Stanciu Daniel Breaz
Department of Mathematics, Department of Mathematics,
University of Piteşti, "1 Decembrie 1918" University of Alba Iulia,
Târgul din Vale Str., No.1, 110040, Piteşti, Alba Iulia, Str. N. Iorga, 510000, No. 11-13,
Argeş, România. România.
e-mail: e-mail: