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Logarithmic coefficients of some close-to-convex functions [PDF]
Bulletin of the Australian Mathematical Society, 2016 The logarithmic coefficients $\unicode[STIX]{x1D6FE}_{n}$ of an analytic and univalent function $f$ in the unit disc $\mathbb{D}=\{z\in \mathbb{C}:|z|
Md. Firoz Ali, Vasudevarao Allu
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Faber Polynomial Coefficient Estimates of Bi-Close-to-Convex Functions Associated with Generalized Hypergeometric Functions [PDF]
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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On the Fekete–Szegö Type Functionals for Close-to-Convex Functions [PDF]
Symmetry, 2019 In this paper, we consider two functionals of the Fekete–Szegö type Θ f ( μ ) = a 4 − μ a 2 a 3 and Φ f ( μ ) = a 2 a 4 − μ a 3 2 for a real number μ and for an analytic function f ( z ) = z + a 2 z 2 + a 3 z 3 + … , | z | < 1 . This type of research was
Katarzyna Trąbka-Więcław +3 more
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On the definition of a close-to-convex function
International Journal of Mathematics and Mathematical Sciences, 1978 The standard definition of a close-to-convex function involves a complex numerical factor eiβ which is on occasion erroneously replaced by 1. While it is known to experts in the field that this replacement cannot be made without essentially changing the ...
A. W. Goodman, E. B. Saff
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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.
Khalida Inayat Noor +2 more
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Malaysian Journal of Computing, 2018 We consider here the functions which are analytic and univalent in the open unit disc normalized by and . By , we denote a new subclass of close-to-convex function such that for which and .
Sidik Rathi, Shaharuddin Cik Soh, Ajab Akbarally
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On a Subclass of Close-to-Convex Functions [PDF]
Bulletin of the Iranian Mathematical Society, 2018 11 ...
Yao Liang Chung +2 more
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On logarithmic coefficients of some close-to-convex functions [PDF]
, 2016 The logarithmic coefficients $\gamma_n$ of an analytic and univalent function $f$ in the unit disk $\mathbb{D}=\{z\in\mathbb{C}:|z|
Md Firoz Ali, A. Vasudevarao
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Subclasses of close‐to‐convex functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1983 Let 𝒦[C, D], −1 ≤ D < C ≤ 1, denote the class of functions g(z), g(0) = g′(0) − 1 = 0, analytic in the unit disk U = {z : |z| < 1} such that 1 + (zg″(z)/g′(z)) is subordinate to (1 + Cz)/(1 + Dz), z ϵ U. We investigate the subclasses of close‐to‐convex functions f(z), f(0) = f′(0) − 1 = 0, for which there exists g ϵ 𝒦[C, D]
E. M. Silvia
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Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions
Mathematics, 2019 The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied.
Shahid Mahmood +3 more
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