Univalence criteria for a nonlinear integral operator
نویسندگان
چکیده
منابع مشابه
Univalence Criteria for a Nonlinear Integral Operator
The purpose of this paper is to obtain univalence of a certain nonlinear integral transform of functions belonging to a subclass of analytic functions. We also give several interesting geometric properties of the integral transform.
متن کاملUnivalence Criteria for a General Integral Operator
In this paper the author introduces a general integral operator and determines conditions for the univalence of this integral operator. Also, the significant relationships and relevance with other results are also given.
متن کاملUnivalence criteria for general integral operator
Let A be the class of all analytic functions which are analytic in the open unit disc U = {z : |z| < 1} and Gb = { f ∈ A : ∣∣∣∣ 1 + zf ′′(z)/f ′(z) zf ′(z)/f(z) − 1 ∣∣∣∣ < b, z ∈ U } . In this paper, we derive sufficient conditions for the integral operator Ii γ (f1, ..., fn)(z) = z ∫ 0 tγ−1 ( f ′ 1(t) )α1 ( f1(t) t )1−α1 ... ( f ′ n(t) )αn ( fn(t) t )1−αn dt 1 γ to be analytic and ...
متن کاملUnivalence conditions for a general integral operator
For analytic functions in the open unit disk U , we define a new general integral operator. The main object of the this paper is to study this new integral operator and to determine univalence conditions of it. Several corollaries of the main results are also considered.
متن کاملNew univalence criteria for some integral operators
In this work we consider some integral operators for analytic functions in the open unit disk and we obtain new univalence criteria for these integral operators, using Mocanu’s and Şerb’s Lemma, Pascu’s Lemma. Mathematics Subject Classification (2010): 30C45.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tamkang Journal of Mathematics
سال: 2011
ISSN: 2073-9826,0049-2930
DOI: 10.5556/j.tkjm.42.2011.79-85