COEFFICIENT BOUND OF A GENERALIZED CLOSE-TO-CONVEX FUNCTION

Generalized Alpha-Close-to-Convex Functions

On generalized Hermite-Hadamard inequality for generalized convex function

In this paper, a new inequality for generalized convex functions which is related to the left side of generalized Hermite-Hadamard type inequality is obtained. Some applications for some generalized special means are also given.

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

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.

Harmonic Close-to-convex Mappings

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. Harmonic, Convex, Close-to-Convex, Univalent.