New subclasses of bi-univalent functions [PDF]
Applied Mathematics Letters, 2011 In this paper, we introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc.
Aouf, M.K., Frasin, B.A.
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Subclasses of Bi-Univalent Functions Associated with Hohlov Operator [PDF]
World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering, 2017 The coefficients estimate problem for Taylor-Maclaurin series is still an open problem especially for a function in the subclass of bi-univalent functions.
Aini Janteng +2 more
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Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions. [PDF]
Int Sch Res Notices, 2014 We introduce and investigate two new subclasses Mσα,λ and Mσβ,λ of meromorphic bi-univalent functions defined on Δ={z:z∈C,1<|z|<∞}. For functions belonging to these classes, estimates on the initial coefficients are obtained.
Bulut S.
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Estimating coefficients for certain subclasses of meromorphic and bi-univalent functions. [PDF]
J Inequal Appl, 2018 In the present paper, we introduce two interesting subclasses of meromorphic and bi-univalent functions defined on Δ = { z : z ∈ C , 1 < | z | < ∞ } . For functions belonging to these subclasses, estimates on the initial coefficient | b 0 | and | b 1 | are obtained. Some other closely related results are also represented.
Sakar FM.
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Faber polynomials estimates for bi-univalent functions of complex order involving q-derivative [PDF]
, 2023 In this paper, we define a new subclass of bi-univalent functions of complex order which is defined by subordination in the open unit disc D by using operator. Furthermore, using the Faber polynomial expansions, we get upper bounds for the coefficients
Madian, S. M. +2 more
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Results on BI-univalent Functions [PDF]
Proceedings of the American Mathematical Society, 1981 When the class σ \sigma of bi-univalent functions was first defined, it was known that functions of the form ϕ ∘ ψ − 1 ∈ σ \phi \circ {\psi ^{ - 1}} \in \sigma when ϕ \phi and
D. J. Wright, D. Styer
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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 ...
Caglar, Murat +2 more
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Coefficient Estimates for Some Subclasses of m-Fold Symmetric Bi-univalent Functions Defined by Linear Operator [PDF]
, 2021 The articles introduces and investigates "two new subclasses of the bi-univalent functions ." These are analytical functions related to the m-fold symmetric function and .
Hussein , Dhirgam Allawy Hussein +1 more
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New Developments in Geometric Function Theory [PDF]
, 2023 The book contains papers published in a Special Issue of Axioms, entitled "New Developments in Geometric Function Theory". An Editorial describes the 14 papers devoted to the study of complex-valued functions which present new outcomes related to special
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Development of Novel Subclasses for Bi-Univalent Functions
ASM Science Journal, 2021 This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator. The functions contained in the subclasses were used to account for the initial coefficient estimates of |a2| and |a3| .
Shaharuddin Cik Soh +2 more
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