Malaysian Journal of Mathematical Sciences, October 2014, Vol. 8(S)
Special Issue: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013)
Integral Operators Preserving Univalence
Oqlah Al-Refai
Corresponding Email: oso_alrefai@yahoo.com
Received date: -
Accepted date: -
Abstract:
We introduce two new integral operators Fα,β and Hα,β,γ acting on the class of normalized analytic functions A, where α,β and γ are complex parameters. Indeed, we derive sufficient conditions on the parameters α,β and γ to obtain that Fα,β(g) and Hα,β,γ(g) are univalent functions in the open unit disk U, whenever g is univalent in U.
Keywords: Univalent functions, univalence criteria, integral operators, preserving univalence
