Application of Hölder Inequality in Generalised Convolutions for Functions with Respect to k-Symmetric Points

Abstract Two classes of univalent functions with respect to k-symmetric points define on the unit disk satisfying the conditions: are given. The two inequalities of the functions belonging to these two classes are the starlike and convex functions with respect to k-symmetric points, respectively. Some interesting properties of generalisations of Hadamard product in these classes are given. Mathematics Subject Classification: 30C45, 30C50, 30C5