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.

In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (...

Motivated by the recent work on symmetric analytic functions using concept of Faber polynomials, this article introduces and studies two new subclasses bi-close-to-convex quasi-close-to-convex associated with Janowski functions. By polynomial expansion method, it determines general coefficient bounds for belonging to these classes. It also finds initial coefficients bi-quasi-convex Some known c...