On the coefficient problem for close-to-convex functions

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.

On the Fekete-Szeg6 problem for close-to-convex functions II

Let C (fl), fl > 0, denote the family of no rmal i zed c loseto-convex funct ions of o rder ft. F o r fl = 1 this is the usual set of c loseto-convex functions, which had been defined by Kap lan . In a prev ious pape r [3] we solved the Fekete-Szeg6 p r o b l e m of maximiz ing l a 3 2 a2l, 2 ~ [0, 1], for c loseto-convex functions. The largest n u m b e r 20 for which [a a 20 a2[ is max imized...

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

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...

Generalized Alpha-Close-to-Convex Functions