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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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Development of Novel Subclasses for Bi-Univalent Functions
ASM Science Journal, 2021 This manuscript presents the development of new subclasses for bi-univalent functions and the subclasses are closely related to Chebyshev polynomials having Al-Oboudi differential operator. The functions contained in the subclasses were used to account for the initial coefficient estimates of |a2| and |a3| .
MUNIRAH ROSSDY +2 more
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Abstract and Applied Analysis, 2020 In this paper, we introduce new subclasses of the function class Σ of bi-univalent functions connected with a q-analogue of Bessel function and defined in the open unit disc.
Sheza M. El-Deeb
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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′(z) for functions of the class σ of bi-univalent functions.
Sivasubramanian, Srikandan +3 more
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Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
, 2015 In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
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Certain New Subclassess of Analytic and Bi-univalent Functions
International Journal of Analysis and Applications, 2023 The paper presents two novel subclasses of the function class Σ, which consists of bi-univalent functions defined in the open unit disk D={ζ:|ζ|
C. R. Krishna +2 more
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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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Coefficient Estimates for New Subclasses of Meromorphic Bi-Univalent Functions [PDF]
International Scholarly Research Notices, 2014 We introduce and investigate two new subclasses Mσα,λ and Mσβ,λ of meromorphic bi-univalent functions defined on Δ={z:z∈C,1<|z|<∞}. For functions belonging to these classes, estimates on the initial coefficients are obtained.
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, 2017 We introduce fibred type-theoretic fibration categories which are fibred categories between categorical models of Martin-L\"{o}f type theory. Fibred type-theoretic fibration categories give a categorical description of logical predicates for identity ...
Uemura, Taichi
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On a subclass of analytic functions involving harmonic means
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In the present paper, we consider a generalised subclass of analytic functions involving arithmetic, geometric and harmonic means. For this function class we obtain an inclusion result, Fekete-Szegö inequality and coefficient bounds for bi-univalent ...
Tudor Andreea-Elena, Rǎducanu Dorina
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