Results 31 to 40 of about 1,415 (218)
Bi-Bazilevič functions of order ϑ+iδ associated with (p,q)− Lucas polynomials
AIMS Mathematics, 2021 By means of(p,q)− Lucas polynomials, a class of Bazilevič functions of order ϑ+iδ in the open unit disk U of analytic and bi-univalent functions is introduced. Further, we estimate coefficients bounds and Fekete-Szegö inequalities for functions belonging
Ala Amourah +3 more
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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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New subclasses of bi-univalent functions
Applied Mathematics Letters, 2011 AbstractIn this paper, 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 |a2| and |a3| for functions in these new subclasses.
M. K. Aouf, Basem Aref Frasin
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On the class of bi-univalent functions
Comptes Rendus. Mathématique, 2014 Abstract In an attempt to answer the question raised by A.W. Goodman, we obtain a covering theorem, a distortion theorem, a growth theorem, the radius of convexity and an argument estimate of f ′ ( z ) for functions of the class σ of bi-univalent functions.
S. Sivasubramanian +3 more
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Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]
International Journal of Mathematical, Engineering and Management SciencesThe Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions.
Mohamed Illafe +3 more
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SUBCLASSES OF BI-UNIVALENT FUNCTIONS BASED ON HOHLOV OPERATOR [PDF]
International Journal of Pure and Apllied Mathematics, 2015 In this paper, we introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc based on Hohlov Operator.Furthermore, we find estimates on the coefficients |a 2 | and |a 3 | for functions in these new subclasses.Also consequences of the results are pointed out.
O. S. Babu +2 more
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An Application of Rabotnov Functions on Certain Subclasses of Bi-Univalent Functions
Axioms, 2022 In this study, a new class RΣμ(x,γ,α,δ,β) of bi-univalent functions studied by means of Gegenbauer polynomials (GP) with Rabotnov functions is introduced. The coefficient of the Taylor coefficients a2 and a3 and Fekete-Szegö problems for functions belonging to RΣμ(x,γ,α,δ,β) have been derived as well.
Ala Amourah +3 more
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Mathematics, 2019 In this investigation, by using the Komatu integral operator, we introduce the new class of bi-univalent functions based on the rule of subordination. Moreover, we use the Faber polynomial expansions and Fibonacci numbers to derive bounds for the general
Şahsene Altınkaya +2 more
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Estimates of Coefficients for Bi-Univalent Functions in the Subclass H_∑ (n,γ,φ)
Tikrit Journal of Pure Science, 2023 Considering that finding the bounds for the coefficients of the Taylor-Maclaurin series expansion of bi-univalent functions is one of the important subjects in geometric function theory that has attracted the attention of many researchers in the last ...
Khalid I. Abdullah , Nafya H. Mohammed
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Estimates of Initial Coefficients for Bi-Univalent Functions [PDF]
Abstract and Applied Analysis, 2014 We consider the Fekete-Szegö inequalities for classes which were defined by Murugusundaramoorthy et al. (2013). These inequalities will result in bounds of the third coefficient which are better than these obtained by Murugusundaramoorthy et al. (2013). Moreover, we discuss two other classes of bi-univalent functions.
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