Results 1 to 10 of about 360,300 (164)
On logarithmic coefficients of some close-to-convex functions [PDF]
Bulletin of the Australian Mathematical Society, 2016 The logarithmic coefficients $\gamma_n$ of an analytic and univalent function $f$ in the unit disk $\mathbb{D}=\{z\in\mathbb{C}:|z|
Ali, Md Firoz, Vasudevarao, A.
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New Criteria for Univalent, Starlike, Convex, and Close-to-Convex Functions on the Unit Disk [PDF]
Mathematics Interdisciplinary Research, 2020 In the present paper, we introduce and investigate three interesting superclasses SD, SD* and KD of analytic, normalized and univalent functions in the open unit disk D.
Mohammad Reza Yasamian +2 more
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On a New Class of Bi-Close-to-Convex Functions with Bounded Boundary Rotation
Mathematics, 2023 In the current article, we introduce a new class of bi-close-to-convex functions with bounded boundary rotation. For this new class, the authors obtain the first three initial coefficient bounds of the newly defined bi-close-to-convex functions with ...
Daniel Breaz +3 more
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An application of the generalized Bessel function [PDF]
Mathematica Bohemica, 2017 We introduce and study some new subclasses of starlike, convex and close-to-convex functions defined by the generalized Bessel operator. Inclusion relations are established and integral operator in these subclasses is discussed.
Hanan Darwish +2 more
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Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk
Axioms, 2022 We consider two parametric families of special functions: One is defined by a power series generalizing the classical Mathieu series, and the other one is a generalized Mathieu type power series involving factorials in its coefficients.
Živorad Tomovski +3 more
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Generalized Alpha‐Close‐to‐Convex Functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 2009 We define the classes Gβ(α, k, γ) as follows: f ∈ Gβ(α, k, γ) if and only if, for z ∈ E = {z ∈ ℂ : |z| < 1}, |arg{(1 − α2z2)f′(z)/ e−iβϕ′(z)}| ≤ γπ/2, 0 < γ ≤ 1; α ∈ [0, 1]; β ∈ (−π/2, π/2), where ϕ is a function of bounded boundary rotation.
K. Inayat Noor +2 more
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Subclasses of p-Valent Functions Associated with Linear q-Differential Borel Operator
Mathematics, 2023 The aim of the present paper is to introduce and study some new subclasses of p-valent functions by making use of a linear q-differential Borel operator.We also deduce some properties, such as inclusion relationships of the newly introduced classes and ...
Adriana Cătaş +2 more
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Logarithmic Coefficients Inequality for the Family of Functions Convex in One Direction
Mathematics, 2023 The logarithmic coefficients play an important role for different estimates in the theory of univalent functions. Due to the significance of the recent studies about the logarithmic coefficients, the problem of obtaining the sharp bounds for the modulus ...
Ebrahim Analouei Adegani +3 more
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On the characterization properties of certain hypergeometric functions in the open unit disk
Journal of Inequalities and Applications, 2022 Our purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function z 1 F 2 ( a ; b , c ; z ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit disk.
Deepak Bansal +3 more
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Mathematics, 2022 A new subclass of bi-close-to-convex functions associated with the generalized hypergeometric functions defined in ∆={z∈C:|z|
Jie Zhai, Rekha Srivastava, Jin-Lin Liu
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