Univalence of two general integral operators
نویسندگان
چکیده
منابع مشابه
Univalence of Certain Integral Operators
We study some integral operators and determine conditions for the univalence of these integral operators.
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The purpose of the present paper is to extend the univalent condition of some integral operators. Relevant connections of the results presented here with various known results are briefly indicated. Further, we improve some recent results of ([4,8,9]).
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For analytic functions f, g in the open unit disk U, we define two new integral operators. The main object of this paper is to obtain the univalence conditions for the integral operators. Several corollaries of the main results are also considered.
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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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ژورنال
عنوان ژورنال: Filomat
سال: 2009
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil0903223f