UNIVALENCE PROPERTIES FOR A GENERAL INTEGRAL OPERATOR
نویسندگان
چکیده
منابع مشابه
Univalence 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.
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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 ...
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In this paper, we consider a general integral operator $G_n(z).$ The main object of the present paper is to study some properties of this integral operator on the classes $mathcal{S}^{*}(alpha),$ $mathcal{K}(alpha),$ $mathcal{M}(beta),$ $mathcal{N}(beta)$ and $mathcal{KD}(mu,beta).$
متن کاملThe univalence conditions for a general integral operator
For analytic functions in the open unit disk, J. Becker (Math. Ann. 202(1973)) has given some univalent conditions. In the present paper, some extensions of Becker’s type are considered.
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2009
ISSN: 1015-8634
DOI: 10.4134/bkms.2009.46.3.439