SOME NOTES ON EXTENSIONS OF BASIC UNIVALENCE CRITERIA
نویسندگان
چکیده
منابع مشابه
New 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.
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Many classical univalence criteria depending on the Schwarzian derivative are special cases of a result, proved in [18], involving both conformal mappings and conformal metrics. The classical theorems for analytic functions on the disk emerge by choosing appropriate conformal metrics and computing a generalized Schwarzian. The results in this paper address questions of extending functions which...
متن کاملSome criteria for univalence of certain integral operators
We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk. 1. Introduction. Let Ꮽ be the class of the functions f (z) which are analytic in the open unit disk U = {z ∈ C : |z| < 1} and f (0) = f (0) − 1 = 0.
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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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ژورنال
عنوان ژورنال: Journal of the Korean Mathematical Society
سال: 2011
ISSN: 0304-9914
DOI: 10.4134/jkms.2011.48.1.179