On the Existence of Functions being Univalent in Half-plane together with their Derivatives
In articles [1]-[3] a class of functions being univalent in unit disc with all their derivatives was investigated. It was proved such functions exist and must be the entire functions of exponential type.
J. Kirjackis
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Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions
In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ={z:z∈C ...
F. Müge Sakar
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On a class of univalent functions
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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Certain Classes of Univalent Functions With Negative Coefficients Defined By General Linear Operator
In this study, a subclass of an univalent function with negative coefficients which is defined by anew general Linear operator have been introduced.
Mazin Sh.Mahmoud +2 more
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Meromorphic univalent function with negative coefficient
Let Mn be the classes of regular functions f(z)=z−1+a0+a1z+… defined in the annulus ...
A. Dernek
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Application of Gegenbauer Polynomials with Two Variables to Bi-univalency of Generalized Discrete Probability Distribution Via Zero-Truncated Poisson Distribution Series [PDF]
The present study is unique in exploring bi-univalent functions, which has recently garnered attention from many researchers in Geometric Function Theory (GFT).
Tunji Ibrahim Awolere +2 more
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On Analytic Univalent Function Associated With Tangent Hyperbolic Function [PDF]
Within this article, we propose some sufficient conditions for analytic functions correlated with tangent hyperbolic function. We investigate convolution conditions, integral conservation properties and coefficient sufficiency criteria for this family of
Gehan Elyazyd +3 more
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A new family of analytic functions associated with multiplier transformation
Some geometric properties of a certain univalent function in the unit disk are considered in this work and the results extend some known results in the literature.
M.O. Oluwayemi, Imran Faisal
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A TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
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Coefficient Bounds for Certain Subclasses of Bi-Univalent Function [PDF]
We introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc. Furthermore, we find estimates on the coefficients |a2| and |a3| for functions in these new subclasses.
N. Magesh +2 more
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