On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers [PDF]
Mathematics, 2023 One of the important problems regarding coefficients of analytical functions (i.e., Fekete–Szegö inequality) was raised by Fekete and Szegö in 1933. The results of this research are dedicated to determine upper coefficient estimates and the Fekete–Szegö ...
Daniel Breaz +3 more
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Properties of Meromorphic Spiral-Like Functions Associated with Symmetric Functions [PDF]
Journal of Function Spaces, 2022 To consolidate or adapt to many studies on meromorphic functions, we define a new subclass of meromorphic functions of complex order involving a differential operator.
Daniel Breaz +3 more
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Faber polynomial coefficient estimates of bi-univalent functions connected with the $q$-convolution [PDF]
Mathematica Bohemica, 2023 We introduce a new class of bi-univalent functions defined in the open unit disc and connected with a $q$-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions and
Sheza M. El-Deeb, Serap Bulut
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Fekete-Szegö Problem for a New Class of Analytic Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We consider the Fekete-Szegö problem with complex parameter 𝜇 for the class 𝑅𝜏𝛾(𝜙) of analytic functions.
Deepak Bansal
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On the Fekete and Szegö Problem for the Class of Starlike Mappings in Several Complex Variables [PDF]
Abstract and Applied Analysis, 2014 Let S be the familiar class of normalized univalent functions in the unit disk. Fekete and Szegö proved the well-known result maxf∈Sa3-λa22=1+2e-2λ/(1-λ) for λ∈0, 1.
Qing-Hua Xu, Tai-Shun Liu
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A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we introduce a newly defined subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk.
Somayeh Fadaei +2 more
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The Fekete–Szegö problem for spirallike mappings and non-linear resolvents in Banach spaces [PDF]
, 2022 We study the Fekete–Szegö problem on the open unit ball of a complex Banach space. Namely, the Fekete–Szegö inequalities are proved for the class of spirallike mappings relative to an arbitrary strongly accretive operator, and some of its subclasses ...
ELIN, Mark, JACOBZON, Fiana
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Fekete-Szegö Problem of Functions Associated with Hyperbolic Domains [PDF]
Sahand Communications in Mathematical Analysis, 2019 In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their ...
Sarfraz Nawaz Malik +3 more
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Coefficients bounds for a family of bi-univalent functions defined by Horadam polynomials [PDF]
, 2022 In the present paper, we determine upper bounds for the first two Taylor–Maclaurin coefficients |a2| and |a3| for a certain family of holomorphic and bi-univalent functions defined by using the Horadam polynomials.
Frasin, Basem A. +3 more
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Starlike Functions of Complex Order with Respect to Symmetric Points Defined Using Higher Order Derivatives [PDF]
, 2022 In this paper, we introduce and study a new subclass of multivalent functions with respect to symmetric points involving higher order derivatives. In order to unify and extend various well-known results, we have defined the class subordinate to a conic ...
Karthikeyan, Kadhavoor R. +4 more
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