Results 101 to 110 of about 1,299 (211)
A Univalence Preserving Integral Operator
Journal of Inequalities and Applications, 2008 We define an integral operator denoted by I, and we give sufficient conditions such that F=I(f1,f2,…,fm) is univalent.
Georgia Irina Oros
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Sufficient conditions for univalence in ℂ n
International Journal of Mathematics and Mathematical Sciences, 2002 The method of subordination chains is used to establish new univalence criteria for holomorphic mappings in the unit ball of ℂ n. Various criteria involving the first and the second derivative of a holomorphic mapping in the unit ball of ℂ n are ...
Dorina Rãducanu
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The Univalence of Some Integral Operators [PDF]
, 2012 In this paper, we obtain the conditions for univalence of the integral operators of two forms.Key Words: Integral operator ...
Makinde, Deborah O.
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Univalent Functions with Univalent Derivatives III [PDF]
Indiana University Mathematics Journal, 1969 S. M. Shah, S. Y. Trimble
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On a class of univalent functions
Applied Mathematics Letters, 2012 AbstractLet A be the class of analytic functions in the unit disk D with the normalization f(0)=f′(0)−1=0. Denote by N the class of functions f∈A which satisfy the condition |−z3(zf(z))‴+f′(z)(zf(z))2−1|≤1,z∈D. We show that functions in N are univalent in D but not necessarily starlike.
Milutin Obradovic, Saminathan Ponnusamy
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On an Improvement of an Univalence Criterion
, 2010 In this paper the method of subordination chains is used to obtain sufficient conditions for the univalence of an integral operator.These conditions improve the univalence criterion due to M.Goluzin [1]
Orhan, Halit +2 more
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Univalence conditions for a general integral operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 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.
Oprea Adriana, Breaz Daniel
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Univalence Criteria and Quasiconformal Extensions
, 2017 We establish more general conditions for the univalence of analytic functions in the open unit disk .
ORHAN, Halit, Caglar, M.
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On General Integral Operator of Analytic Functions
Abstract and Applied Analysis, 2013 Let be the integral operator defined by , where each of the functions and is, respectively, analytic functions and functions with positive real part defined in the open unit disk for all .
Nasser Alkasbi, Maslina Darus
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Typically real logharmonic mappings
International Journal of Mathematics and Mathematical Sciences, 2002 We consider logharmonic mappings of the form f(z)=z|z| 2βhg¯ defined on the unit disk U which are typically real. We obtain representation theorems and distortion theorems.
Zayid Abdulhadi
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