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Univalence Criteria for Locally Univalent Analytic Functions
Ukrainian Mathematical Journal, 2023 UDC 517.5 Suppose that p ( z ) = 1 + z ϕ ' ' ( z ) / ϕ ' ( z ) , where ϕ ( z ) is a locally univalent analytic function in the unit disk D with ϕ ( 0 ) = ϕ ' ( 1 ) - 1 = 0. We establish the lower and upper bounds for the best constants σ 0
Hu, Zhenyong +2 more
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A class of univalent functions [PDF]
Proceedings of the American Mathematical Society, 1973 A sharp coefficient estimate is obtained for a class D ( α
Caplinger, T. R., Causey, W. M.
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Majorization for certain classes of meromorphic functions defined by integral operator [PDF]
, 2016 Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by ...
Goyal, S. P., Goswami, Pranay
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Subordination by Univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1981 Let K K be the class of functions
Singh, Sunder, Singh, Ram
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The Coefficients Of Functions With Positive Real Part And Some Special Classes Of Univalent Functions. [PDF]
, 2003 Several special classes of univalent functions f in the unit disk U are characterized by the quantity zf'(z)/ f (z) lies in a given region in the right-half plane.
M. Ali, Rosihan
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On convolutions of slanted half-plane mappings
Journal of Taibah University for Science, 2021 The convolution of convex harmonic univalent functions in the unit disk, unlike analytic functions, may not be convex or even univalent. The main purpose of this work is to develop previous work involving the convolution of convex harmonic functions ...
Elif Yaşar
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On a subclass of univalent functions II [PDF]
Annales Polonici Mathematici, 1983 [For part I see the review above.] Let f be analytic in the unit disc E with \(f(0)=f'(0)-1=0,\) and \(f(z)f'(z)/z\neq 0\) for z in E. Using the standard technique the authors have obtained an integral representation formula for \(f\in C(\alpha,\lambda)\) and estimates for the coefficients of \(f\in C(\alpha,\lambda)\), where \(C(\alpha\),\(\lambda ...
Padmanabhan, K. S., Bharati, R.
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On the Univalence Criterion of a General Integral Operator
Journal of Inequalities and Applications, 2008 In this paper we considered an general integral operator and three classes of univalent functions for which the second order derivative is equal to zero.
H. Özlem Güney, Daniel Breaz
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Mathematics, 2023 Subclasses of analytic and bi-univalent functions have been extensively improved and utilized for estimating the Taylor–Maclaurin coefficients and the Fekete–Szegö functional.
Abdulmtalb Hussen, Abdelbaset Zeyani
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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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