Results 11 to 20 of about 4,863 (149)
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 +5 more
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Coefficient bounds for new subclasses of bi-univalent functions [PDF]
Filomat, 2013 In the present investigation, we consider two new subclasses N?? (?, ?) and N?? (?, ?) of bi?univalent functions defined in the open unit disk u = {z : |z| < 1}. Besides, we find upper bounds for the second and third coefficients for functions in these new subclasses.
Caglar, Murat +2 more
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Estimates for initial coefficients of certain bi-univalent functions
Filomat, 2021 Estimates are obtained for the initial coefficients of a normalized analytic function f in the unit disk D such that f and the analytic extension of f-1 to D belong to certain subclasses of univalent functions. The bounds obtained improve some existing known bounds.
Vibha Madaan +2 more
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Estimate for Initial MacLaurin Coefficients of Certain Subclasses of Bi-univalent Functions [PDF]
, 2015 In this paper, estimates for second and third MacLaurin coefficients of certain subclasses of bi-univalent functions in the open unit disk defined by convolution are determined, and certain special cases are also indicated.
Alkahtani, Badr +2 more
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On a new subclass of bi-univalent functions
Journal of the Egyptian Mathematical Society, 2013 AbstractThe purpose of the present paper is to introduce a new subclass of the function class ∑ of bi-univalent functions defined in the open unit disc. Furthermore, we obtain estimates on the coefficients ∣a2∣ and ∣a3∣ for functions of this class. Relevant connections of the results presented here with various well-known results are briefly indicated.
Saurabh Porwal, Maslina Darus
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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 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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Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions [PDF]
, 2011 Estimates on the initial coefficients are obtained for normalized analytic functions $f$ in the open unit disk with $f$ and its inverse $g=f^{-1}$ satisfying the conditions that $zf'(z)/f(z)$ and $zg'(z)/g(z)$ are both subordinate to a starlike univalent
Ali +14 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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