Results 21 to 30 of about 50,656 (255)
On alpha-close-to-convex functions of order beta
International Journal of Mathematics and Mathematical Sciences, 1986 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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On Starlike and Close-to-Convex Functions [PDF]
Proceedings of the London Mathematical Society, 1963 Peer Reviewed ; http://deepblue.lib.umich.edu/bitstream/2027.42/135466/1/plms0290 ...
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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
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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.
Jahangiri, Jay M., Silverman, Herb
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Radius problems for a subclass of close-to-convex univalent functions
International Journal of Mathematics and Mathematical Sciences, 1992 Let P[A,B], −1≤Bβ, 0 ...
Khalida Inayat Noor
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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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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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Fractional Differential Operator Based on Quantum Calculus and Bi-Close-to-Convex Functions
MathematicsIn this article, we first consider the fractional q-differential operator and the λ,q-fractional differintegral operator Dqλ:A→A. Using the λ,q-fractional differintegral operator, we define two new subclasses of analytic functions: the subclass S*q,β,λ ...
Zeya Jia +5 more
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On a Class of Close-to-Convex Functions [PDF]
Proceedings of the American Mathematical Society, 1972 We look at functionsf(z) for which there correspond functions +(z) convex of order a such that Re{f'(z)lq'(z)}>fl. We examine the influence of the second coefficient of +(z) on this class. In particular, distortion, covering, and radius of convexity theorems are proved.
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Some Evaluations About Coefficients Boundaries for Specific Classes of Bi-Univalent Functions
AxiomsNew subclasses of bi-univalent functions with bounded boundary rotation are presented in this study. We acquired estimates for the initial coefficients a2, a3 and a4.
Suliman M. Sowileh +5 more
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