Results 81 to 90 of about 270 (181)
On the coefficients of R-univalent functions [PDF]
Duke Mathematical Journal, 1955 (4) | an| < 41 di n, f(z) 5 d(I zI < 1). Because of d|I d 1/4, (4) is weaker than the Bieberbach conjecture but, as shown by the function f(z) =z(1 -Z)-2 =z+2z2+3z3+ (f(z)05-1/4), it would still be sharp. In the present note we shall show that the truth of Littlewood's conjecture (4) would follow from the proof of the asymptotic result (3).
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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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Univalent functions with univalent sections [PDF]
, 1998 Contains fulltext : 265336.pdf (Publisher’s version ) (Open Access)
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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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Univalent Functions with Univalent Derivatives III [PDF]
Indiana University Mathematics Journal, 1969 S. M. Shah, S. Y. Trimble
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Demonstratio Mathematica, 2002 Let \(A\) denote the class of all analytic functions \(f(z)\) defined in the open unit disc of the complex plane and normalized by \(f(0)= 0\), \(f'(0)= 1\). Let \(S\) denote the subclass of \(A\) consisting of univalent functions. In this paper the authors prove that if \(f\in A\) with \[ \text{Re}\Biggl\{e^{i\theta} {zf''(z)\over f'(z)}\Biggr\}\leq{1\
Blezu, Dorin, Pascu, Nicolae N.
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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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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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Geometric Properties of a New Integral Operator
Abstract and Applied Analysis, 2015 We obtain sufficient conditions for the univalence, starlikeness, and convexity of a new integral operator defined on the space of normalized analytic functions in the open unit disk.
Roberta Bucur +2 more
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