Results 11 to 20 of about 47,345 (292)
On a Subclass of Meromorphic Close-to-Convex Functions [PDF]
The Scientific World Journal, 2014 The main purpose of this paper is to introduce and investigate a certain subclass of meromorphic close-to-convex functions. Such results as coefficient inequalities, convolution property, inclusion relationship, distortion property, and radius of meromorphic convexity are derived.
Ming-Liang Li, Lei Shi, Zhi-Gang Wang
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Janowski type close-to-convex functions associated with conic regions [PDF]
Journal of Inequalities and Applications, 2017 The analytic functions, mapping the open unit disk onto petal and oval type regions, introduced by Noor and Malik (Comput. Math. Appl. 62:2209-2217, 2011), are considered to define and study their associated close-to-convex functions.
Shahid Mahmood +2 more
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On the Hankel determinants of close-to-convex univalent functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1980 The rate of growth of Hankel determinant for close-to-convex functions is determined. The results in this paper are best possible.
K. Inayat Noor
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On alpha-close-to-convex functions of order beta [PDF]
International Journal of Mathematics and Mathematical Sciences, 1985 Let Mβ(α)[α≥0 and β≥0] denote the class of all functionsf(z)=z+∑n=2∞anznanalytic in the unit disc U with f′(z)f(z)/z≠0 and which satisfy for z=reiθ∈U the condition ∫θ1θ2Re{(1−α)zf′(z)f(z)+α(1+zf″(z)f′(z))}dθ>−βπ for all θ2>θ1.
M. A. Nasr
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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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On subclasses of close-to-convex functions of higher order [PDF]
International Journal of Mathematics and Mathematical Sciences, 1992 The classes Tk(ρ), 0 ...
Khalida Inayat Noor
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Harmonic close‐to‐convex mappings [PDF]
International Journal of Stochastic Analysis, 2000 Sufficient coefficient conditions for complex functions to be close‐to‐convex harmonic or convex harmonic are given. Construction of close‐to‐convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed.
Herb Silverman, Jay M. Jahangiri
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Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions [PDF]
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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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 The aim of this paper is tointroduce a new subclasses of the Janowski type close-to-convex functionsdefined by Ruscheweyh derivative operator and obtain coefficient boundsbelonging to this class.
Öznur Özkan Kılıç
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On certain classes of close‐to‐convex functions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution. The classes Kn are investigated and some properties are given.
Saudi Arabia, Khalida Inayat Noor
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