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New Subclasses of the Class of Close-to-Convex Functions
In this paper we introduce new subclasses of the class of close-to-convex functions. We call a regular function f ( z ) f(z) an alpha-close-to-convex function if ( f ( z
Pran Nath Chichra
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Certain Subclasses of Close-to-Convex Functions
Vietnam Journal of Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Goyal, Som P., Singh, Onkar
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The Geometry of Multivalent Close-to-Convex Functions
Proceedings of the London Mathematical Society, 1985\textit{A. E. Livingston} [Trans. Am. Math. Soc. 155, 161-179 (1965; Zbl 0154.081)] defined the class of close-to-convex functions of order p to be the class K(p) of functions F regular in the unit ball \({\mathbb{B}}\) with \(F(0)=0\) such that \(Re(zF'/f)>0\) in some annulus \(\{\) \(z: \rho
Lyzzaik, A., Styer, D.
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Region of variability for close-to-convex functions-II
Applied Mathematics and Computation, 2009For a complex number \(\alpha\) with \(\Re \alpha>0\), let \(K_\phi(\alpha)\) be the class of analytic functions \(f\) in the unit disk \(\mathbb{D}\) with \(f (0)=0\) satisfying \(\Re( f'(z)/\phi'(z))>0\) in \(\mathbb{D}\), \(f'(0)/\phi'(0)=\alpha\), for some convex univalent function \(\phi\) in \(\mathbb{D}\). For any fixed \(z_0\in \mathbb{D}\) and
Saminathan Ponnusamy +2 more
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A subclass of close-to-convex functions
2013Summary: We obtain coefficient estimates and distortion and growth theorems for certain subclass of close-to-convex functions. The results presented here contain those given in earlier works in some special cases.
SEKER, Bilal, CHO, Nak Eun
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On mutually adjoint close-to-convex functions
1970Artykuł z : Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 19 (1965), s. 47-51 ; streszcz pol., ros. ; Artykuł z : Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica. Vol. 19 (1965), s. 47-51 ; streszcz pol., ros.
Lewandowski, Zdzisław (1929-2011) +1 more
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A distortion theorem for close-to-convex functions
1991The author proves that if the function \(f(z)\) is in the usual class of close-to-convex functions and if \(| z ...
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Janowski Type q-Convex and q-Close-to-Convex Functions Associated With q-Conic Domain
Mathematics, 2020Maslina Darus +2 more
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Second Hankel Determinant for a Certain Subclass of Bi-Close to Convex Functions Defined by Kaplan
Symmetry, 2021Stanislawa Kanas +1 more
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