Results 31 to 40 of about 613 (189)
Mathematics, 2022 The Miller–Ross-type Poisson distribution is an important model for plenty of real-world applications. In the present analysis, we study and introduce a new class of bi-univalent functions defined by means of Gegenbauer polynomials with a Miller–Ross ...
Ala Amourah +2 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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Cofficient estimates for a general Subclass of bi-univalent functions
Boletim da Sociedade Paranaense de Matemática, 2022 In this paper, we introduce and investigate an interesting subclass ${\cal{S}}^{h,p}_{\Sigma}(A,B,C,\lambda)$ of bi-univalent functions in the open unit disk $\mathbb{U}$. Furthermore, we find estimates on the $|a_2|$ and $|a_3|$ coefficients for functions in this subclass. The coefficient bounds presented here generalize some recent works
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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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Bounds For the Coefficients of Two New Subclasses of Bi-Univalent Functions
Science Journal of University of Zakho, 2022 This article discusses two new subclasses of the bi-univalent functions category ∑ in the open unit disk . The primary goal of the article is to obtain estimations of the coefficients and for the functions that are within these two new subclasses.
khalid Ibrahim Abdullah +1 more
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Coefficient estimates for a certain subclass of bi-univalent functions
Le Matematiche, 2016 Summary: In the present investigation, we find estimates on the coefficients \(|a_2|\) and \(|a_3|\) for functions in the function class \(S_\Sigma(\lambda,h)\). The results presented in this paper improve or generalize the recent work of \textit{N. Magesh} and \textit{J. Yamini} [Int. Math. Forum 8, No. 25--28, 1337--1344 (2013; Zbl 1283.30030)].
Yalcin, Sibel, Altınkaya, Şahsene
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New Subclasses of Bi-Univalent Functions Associated with Exponential Functions and Fibonacci Numbers
مجلة بغداد للعلومLewin discussed the class of bi-univalent functions and obtained the bound for the second coefficient, Sakar and Wanas defined two new subclasses of bi-univalent functions and obtained upper bounds for the elementary coefficients |a2| and |a3| for ...
Majd Ayash +3 more
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Lead‐Free Chiral Hybrid Metal Halides for Circularly Polarized Light‐Emitting Diodes
Advanced Optical Materials, EarlyView.Lead‐free chiral hybrid metal halides provide a versatile platform for realizing chiroptical responses through chiral modulation of metal–halide frameworks with diverse dimensionalities, induces inversion‐symmetry breaking and enables dissymmetric excited‐state transitions toward efficient circularly polarized luminescence and electroluminescence. This
Kun Zhu, Li Wan
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Coefficient estimates and Fekete-Szegö functional for subclasses of bi-univalent functions with respect to symmetric points associated with Gegenbauer polynomials [PDF]
Mathematica BohemicaIn the present article, the authors introduce two new subclasses of holomorphic and bi-univalent functions with respect to the symmetric points defined in the domain of open unit disk $\Delta:=\{z \in\mathbb{C} |z|<1\}$ by making use of subordination
Trailokya Panigrahi +2 more
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Axioms, 2023 A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained.
Likai Liu, Jie Zhai, Jin-Lin Liu
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