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ON OZAKI CLOSE-TO-CONVEX FUNCTIONS

Bulletin of the Australian Mathematical Society, 2018
Let $f$ be analytic in $\mathbb{D}=\{z\in \mathbb{C}:|z|<1\}$ and given by $f(z)=z+\sum _{n=2}^{\infty }a_{n}z^{n}$. We give sharp bounds for the initial coefficients of the Taylor expansion of such functions in the class of strongly Ozaki close-to-convex functions, and of the initial coefficients of the inverse function, together with some growth ...
VASUDEVARAO ALLU   +2 more
openaire   +2 more sources

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.
openaire   +2 more sources

A subclass of close-to-convex functions

2013
Summary: 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
openaire   +2 more sources

On mutually adjoint close-to-convex functions

1970
Artykuł 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
openaire   +1 more source

Janowski Type q-Convex and q-Close-to-Convex Functions Associated with q-Conic Domain

Mathematics, 2020
Saqib Hussain   +2 more
exaly  

Hermitian-Toeplitz Determinants for Certain Classes of Close-to-Convex Functions

Bulletin of the Iranian Mathematical Society, 2021
Virendra Kumar, Kumar Virendra
exaly  

A distortion theorem for close-to-convex functions

1991
The author proves that if the function \(f(z)\) is in the usual class of close-to-convex functions and if \(| z ...
openaire   +1 more source

On certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points

Journal of Mathematical Analysis and Applications, 2006
Zhi-Gang Wang
exaly  

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