Results 11 to 20 of about 314 (146)
Second Hankel determinant for a certain function class of bi-univalent functions associated with Salagean derivative operator [PDF]
European Journal of Mathematics and Applications, 2023 In this work, we investigate the bounds on the fourth initial coefficient $|a_4|$ and the second Hankel determinant $|a_2a_4 - a^ 2_3|$ for a class of analytic and bi-univalent functions defined in the open unit disk.
Ezekiel Abiodun Oyekan +3 more
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Fractal and Fractional, 2023 In this present paper, we define a new operator in conjugation with the basic (or q-) calculus. We then make use of this newly defined operator and define a new class of analytic and bi-univalent functions associated with the q-derivative operator ...
Timilehin Gideon Shaba +5 more
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On the class of bi-univalent functions
Comptes Rendus. Mathématique, 2014 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
Sivasubramanian, Srikandan +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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مجلة بغداد للعلوم, 2023 This paper is interested in certain subclasses of univalent and bi-univalent functions concerning to shell- like curves connected with k-Fibonacci numbers involving modified Sigmoid activation function θ(t)=2/(1+e^(-t) ) ,t ≥0 in unit disk
Amal Madhi Rashid, Abdul Rahman S. Juma
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Coefficient estimates for families of bi-univalent functions defined by Ruscheweyh derivative operator [PDF]
Mathematica Moravica, 2021 The main purpose of this manuscript is to find upper bounds for the second and third Taylor-Maclaurin coefficients for two families of holomorphic and bi-univalent functions associated with Ruscheweyh derivative operator.
Bulut Serap, Kareem Wanas Abbas
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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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Faber Polynomial Coefficient Estimates for Meromorphic Bi-Starlike Functions
International Journal of Mathematics and Mathematical Sciences, 2013 We consider meromorphic starlike univalent functions that are also bi-starlike and find Faber polynomial coefficient estimates for these types of functions. A function is said to be bi-starlike if both the function and its inverse are starlike univalent.
Samaneh G. Hamidi +2 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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On Some New Classes of Bi-univalent Functions
Journal of Applied Mathematics, Statistics and Informatics, 2018 Abstract In the present paper, we introduce and investigate two new subclasses Q Σ (n; y;k) and B Σ (n;β;k) of bi-valent functions in the unit disk U.
Darus, M., Singh, Saumya
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