Coefficient estimates for close-to-convex functions with argument $\beta$

Some Properties of Certain Subclasses of Close-to-Convex and Quasi-convex Functions with Respect to 2k-Symmetric Conjugate Points

Higher order close-to-convex functions associated with Attiya-Srivastava operator

In this paper‎, ‎we introduce a new class$T_{k}^{s,a}[A,B,alpha‎ ,‎beta ]$ of analytic functions by using a‎ ‎newly defined convolution operator‎. ‎This class contains many known classes of‎ ‎analytic and univalent functions as special cases‎. ‎We derived some‎ ‎interesting results including inclusion relationships‎, ‎a radius problem and‎ ‎sharp coefficient bound for this class‎.

Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain

The main objective of this investigation is to introduce certain new subclasses of the class $Sigma $ of bi-univalent functions by using concept of conic domain. Furthermore, we find non-sharp estimates on the first two Taylor-Maclaurin coefficients $ left vert a_{2}right vert $ and $left vert a_{3}right vert $ for functions in these new subclasses. We consider various corollaries and consequen...

Coefficient, distortion and growth inequalities for certain close-to-convex functions

* Correspondence: [email protected]. kr Department of Applied Mathematics, Pukyong National University, Busan 608-737, South Korea Full list of author information is available at the end of the article Abstract In the present investigation, certain subclasses of close-to-convex functions are investigated. In particular, we obtain an estimate for the Fekete-Szegö functional for functions belonging t...

The Logarithmic Coefficient Inequality for Close–to–convex Functions of Complex Order

We prove that if n 2 for each close-to-convex functions of complex order b in S whose n− th logarithmic coefficients γn satisfies |γn| An−1 logn, where A is an absolute constant. Mathematics subject classification (2010): 30C45.