Results 11 to 20 of about 17,307,930 (337)
Coefficient Bounds for Certain Subclasses of Bi-Univalent Function [PDF]
, 2013 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 and for functions in these new subclasses.
G. Murugusundaramoorthy +2 more
semanticscholar +2 more sources
Certain Aspects of Univalent Function with Negative Coefficients Defined by Bessel Function
Brazilian Archives of Biology and TechnologyKey words: In recent years, applications of Bessel functions have been effectively used in the modelling of chemical engineering processes and theory of univalent functions.In this paper, we study a new class of analytic and univalent functions with ...
Chellakutti Ramachandran +2 more
doaj +2 more sources
Estimates of logarithmic coefficients of univalent functions
International Journal of Mathematics and Mathematical Sciences, 1993 In this paper, we derive some consequences of Milin's inequallty for the logarithmic coefficients of a univalent function by exploiting a reformulation of it.
Stephen M. Zemyan
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New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions on the Unit Disk [PDF]
Mathematics Interdisciplinary Research, 2020 In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian +2 more
doaj +1 more source
Univalency of Certain Transform of Univalent Functions
Proceedings of the Bulgarian Academy of Sciences, 2023 We consider univalency problem in the unit disc $$\mathbb{D}$$ of the function \[g(z)=\frac{(z/f(z))-1}{-a_{2}}, \] where $$f$$ belongs to some classes of univalent functions in $$\mathbb{D}$$ and $$a_{2}=\frac{f''(0)}{2}\neq 0$$.
Obradović, Milutin, Tuneski, Nikola
openaire +3 more sources
Bi-Univalent Function Classes Defined by Using an Einstein Function and a New Generalised Operator
Science and Technology Indonesia, 2023 Let A be the class of all analytic and univalent functions f (z) = z+Σ∞k=2 akzk in the open unit disc D = {z:|z|
Munirah Rossdy +2 more
doaj +1 more source
On the Univalence of Poly-analytic Functions [PDF]
Computational Methods and Function Theory, 2021 A continuous complex-valued function $F$ in a domain $D\subseteq\mathbf{C}$ is Poly-analytic of order $α$ if it satisfies $\partial^α_{\overline{z}}F=0.$ One can show that $F$ has the form $F(z)={\displaystyle\sum\limits_{0}^{n-1}}\overline{z}^{k}A_{k}(z)$, where each $A_k$ is an analytic function$.$ In this paper, we prove the existence of a Landau ...
Abdulhadi, Zayid, Hajj, Layan El
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The (p, q)-Chebyshev polynomial bounds of a general bi-univalent function class
Boletín de la Sociedad Matematica Mexicana, 2020 In the present paper, we will define the bi-univalent function class $$ \mathcal {S}_{\varSigma }^{\eta ,\mu }\left( p,q\right) $$SΣη,μp,q related to the (p, q)-Chebyshev polynomials.
Ş. Altınkaya, S. Yalçın
semanticscholar +1 more source
THE FEKETE-SZEGO PROBLEMS FOR SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH SIGMOID FUNCTION [PDF]
, 2022 The purpose of this article is to introduce a new subclass of analytic and bi-univalent functions, in associated with sigmoid function and to investigate the upper bounds for |a2| and |a3|, where a2, a3 are the initial Taylor-Maclaurin coefficients ...
Murugusundaramoorthy, Gangadharan +2 more
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, 2021 The aim of this paper is to introduce some special families of holomorphic and S\u{a}l\u{a}gean type bi-univalent functions by making use of Horadam polynomials involving the modified sigmoid activation function $\phi(s)=\frac{2}{1+e^{-s} },\,s\geq0$ in ...
S. R. Swamy +2 more
semanticscholar +1 more source