Study of quantum calculus for a new subclass of bi-univalent functions associated with the cardioid domain [PDF]
HeliyonIn this article, we make use of the concepts of subordination and the q-calculus theory to analyze a new class of analytic bi-univalent functions associated to the cardioid domain.
Khaled Matarneh +4 more
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Coefficient Estimates for New Subclasses of Bi-Univalent Functions Involving Generalized Bivariate Fibonacci-like Polynomials [version 2; peer review: 2 approved] [PDF]
F1000ResearchThe study of bi-univalent functions plays an important role in geometric function theory, particularly in determining coefficient bounds for analytic functions.
Mustafa Husseinu, Mohammed H. Saloomi
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Coefficient Estimates for Certain Classes of Bi-Univalent Functions
International Journal of Mathematics and Mathematical Sciences, 2013 A function analytic in the open unit disk is said to be bi-univalent in if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in makes the behavior of their coefficients ...
Jay M. Jahangiri, Samaneh G. Hamidi
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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.
europepmc +6 more sources
New subclasses of bi-univalent functions
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M K Aouf, B A Frasin
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Modeling of complex physical and biological problems using bi-univalent function calculus [PDF]
Scientific ReportsIn recent years, bi-univalent functions and fractional calculus have attracted considerable attention due to their strong theoretical foundations and potential applications in applied sciences.
Z. M. Saleh +3 more
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Certain subclasses of analytic and bi-univalent functions
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Priyabrat Gochhayat
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A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
Axioms, 2023 Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds a2 and a3 as well as Fekete–Szegö inequalities are derived. Specializing the parameters used in our main results leads
Gharib Gharib +2 more
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Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator
Mathematics, 2020 Let Ω denote the class of functions f ( z ) = z + a 2 z 2 + a 3 z 3 + ⋯ belonging to the normalized analytic function class A in the open unit disk U = z : z
Ibtisam Aldawish +2 more
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On the Fekete-Szegö problem for classes of bi-univalent functions
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2014 Let \(\mathcal{S}\) denote the class of univalent functions in the unit disk \(\mathbb{D}\) of the form \(f(z) = z + a_2 z^2 + \cdots\). Following \textit{M. Lewin} [Proc. Am. Math. Soc. 18, 63--68 (1967; Zbl 0158.07802)], the author denotes by \(\sigma\) the class of bi-univalent functions, i.e., the class of functions \(f\) for which both \(f\) and \(
Paweł Zaprawa
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