Results 1 to 10 of about 19,336 (224)
Coefficient Estimates for Certain Classes of Bi-Univalent Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2013 Summary: A function analytic in the open unit disk \(\mathbb D\) is said to be bi-univalent in \(\mathbb D\) if both the function and its inverse map are univalent there. The bi-univalency condition imposed on the functions analytic in \(\mathbb D\) makes the behavior of their coefficients unpredictable.
Jay M. Jahangiri, Samaneh G. Hamidi
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New subclasses of bi-univalent functions
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Basem Aref Frasin
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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
Ala Amourah +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 ...
Styer, D., Wright, D. J.
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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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Certain subclasses of analytic and bi-univalent functions
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
H M Srivastava, Priyabrat Gochhayat
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Coefficient estimates for certain subclass of bi-univalent functions [PDF]
AIP Conference Proceedings, 2017 In this paper, a subclass of bi-univalent functions is introduced using subordination. Estimates on the initial coefficients and the Fekete-Szego inequality are determined for functions in this subclass. The results would generalize the previous related works of several earlier authors.
Nurdiana Nurali +2 more
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On a new subclass of bi-univalent functions
Journal of the Egyptian Mathematical Society, 2013 The authors use the Sălăgean derivative to define two classes of bi-univalent function. Furthermore, they obtain estimates of \(|a_2|\) and \(|a_3|\) for the functions \(f(z)=z+\sum_{i=2}^\infty a_i z^i\) in those classes.
Porwal, Saurabh, Darus, M.
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Subordination Properties of Bi-Univalent Functions Involving Horadam Polynomials
Journal of Function SpacesIn this research, we investigate a family of q-extensions defined on an open unit disk, which is based on bi-univalent functions associated with differential subordination.
Ebrahim Amini, Shrideh Al-Omari
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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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