Results 51 to 60 of about 974 (118)

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions [PDF]

International Journal of Mathematical, Engineering and Management Sciences
The 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, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam   +3 more
doaj   +1 more source

Hankel Inequalities for a Subclass of Bi-Univalent Functions based on Salagean type q-Difference Operator

Journal of Mathematical and Fundamental Sciences, 2020
In this investigation a new subclass of bi-univalent functions is established that is defined in the open unit disk Δ={𐌶 ∈ ℂ: |𐌶| < 1} and are endowed with the Sălăgean type q-difference operator.
Sibel Yalçın, Åžahsene Altınkaya, Gangadharan Murugusundaramoorthy, Kaliappan Vijaya   +3 more
doaj   +1 more source

On the coefficients of R-univalent functions [PDF]

Duke Mathematical Journal, 1955
(4) | an| < 41 di n, f(z) 5 d(I zI < 1). Because of d|I d 1/4, (4) is weaker than the Bieberbach conjecture but, as shown by the function f(z) =z(1 -Z)-2 =z+2z2+3z3+ (f(z)05-1/4), it would still be sharp. In the present note we shall show that the truth of Littlewood's conjecture (4) would follow from the proof of the asymptotic result (3).
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Univalent functions with univalent sections [PDF]

, 1998
Contains fulltext : 265336.pdf (Publisher’s version ) (Open Access)
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Coefficient Estimates for New Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation by Using Faber Polynomial Technique

Axioms
In this article, the authors use the Faber polynomial expansions to find the general coefficient estimates for a few new subclasses of bi-univalent functions with bounded boundary rotation and bounded radius rotation.
Huo Tang, Prathviraj Sharma, Srikandan Sivasubramanian   +2 more
doaj   +1 more source

Univalent Functions with Univalent Derivatives III [PDF]

Indiana University Mathematics Journal, 1969
S. M. Shah, S. Y. Trimble
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SOME UNIVALENCE CRITERIA

Demonstratio Mathematica, 2002
Let \(A\) denote the class of all analytic functions \(f(z)\) defined in the open unit disc of the complex plane and normalized by \(f(0)= 0\), \(f'(0)= 1\). Let \(S\) denote the subclass of \(A\) consisting of univalent functions. In this paper the authors prove that if \(f\in A\) with \[ \text{Re}\Biggl\{e^{i\theta} {zf''(z)\over f'(z)}\Biggr\}\leq{1\
Blezu, Dorin, Pascu, Nicolae N.
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On the properties of a class of polyharmonic functions

Mathematical Modelling and Analysis, 2013
The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
doaj   +1 more source

Quasi-convex univalent functions

International Journal of Mathematics and Mathematical Sciences, 1980
In this paper, a new class of normalized univalent functions is introduced. The properties of this class and its relationship with some other subclasses of univalent functions are studied. The functions in this class are close-to-convex.
K. Inayat Noor, D. K. Thomas
doaj   +1 more source

Univalent functions with univalent derivatives [PDF]

Bulletin of the American Mathematical Society, 1969
Shah, S. M., Trimble, S. Y.
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