Results 21 to 30 of about 4,863 (149)
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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Certain subclasses of analytic and bi-univalent functions
Applied Mathematics Letters, 2010 AbstractIn the present paper, we introduce and investigate two interesting subclasses of normalized analytic and univalent functions in the open unit disk U≔{z:z∈Cand|z|
Hari M. Srivastava +2 more
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New classes of analytic and bi-univalent functions
AIMS Mathematics, 2021 <abstract><p>Using the (p, q)-derivative operator we introduce new subclasses of analytic and bi-univalent functions, we obtain estimates on coefficients and the Fekete-Szegö functional.</p></abstract>
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Resonances in Loewner equations [PDF]
, 2011 We prove that given a Herglotz vector field on the unit ball of $\mathbb{C}^n$ of the form $H(z,t)=(a_1 z_1,...,a_n z_n)+O(|z|^2)$ with $\Re ...
Arosio +18 more
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On a coefficient problem for bi-univalent functions [PDF]
Proceedings of the American Mathematical Society, 1967 The function f(z) will be called bi-univalent if both f(z) and f-'(z) are univalent in I zI < 1; f(z) will be said to belong to oiff (i) f(z) CS and (ii) there exists a function g(z) ES such that f(g(z)) =g(f(z)) = z in some neighborhood of the origin. Z. Nehari remarked1 that if 4(Z) =4lz+02z2+ ...
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Coefficient Estimates for a Subclass of Bi-univalent Functions
Communications on Advanced Computational Science with Applications, 2015 In this paper, we consider a subclass $S_{\Sigma}(\alpha,\beta)$ of bi-univalent functions defined in the open unit disk $D=\lbrace z\in\mathbb{C}:|z|< 1\rbrace$. Besides, we find upper bounds for the second and third coefficients for functions in this subclass.
Saman Azizi, Sh. Najafzadeh, Ali Ebadian
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Coefficient bounds for certain subclasses of bi-univalent functions [PDF]
Creative Mathematics and Informatics, 2015 In this paper we discuss some newly constructed subclasses of bi-univalent functions and establish bounds for the coefficients of the functions in the subclasses SΣ(λ, α) and SΣ(λ, β).
Yalçın Tokgöz, Sibel +1 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 QΣ(n; y;k) and BΣ(n;β;k) of bi-valent functions in the unit disk U. For functions belonging to the classes QΣ(n;y;k) and BΣ(n;β;k), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|.
Saumya Singh, M. Darus
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On certain subclasses of analytic and bi-univalent functions
Journal of the Egyptian Mathematical Society, 2016 AbstractIn this paper, we introduced two interesting subclasses of the function class σ of analytic and bi-univalent functions in the open unit disk U. Estimates on the first two Taylor–Maclaurin coefficients |a2| and |a3| for functions belonging to these classes are determined. Certain special cases are also indicated.
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Advanced Functional Materials, EarlyView.Faradaic charging with bromine redox chemistry shows promise for energy storage, yet its efficient use in aqueous electrolytes is hindered by water decomposition and polybromides' cross‐diffusion, leading to suboptimal cell performance. This study introduces a tetrabutylammonium bromide‐based hydrated deep eutectic electrolyte with optimized water ...
Tae Pyeong Eom +4 more
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