Original Article
Kyungpook Mathematical Journal 2002; 42(1): 61-70
Published online June 23, 2002
Copyright © Kyungpook Mathematical Journal.
On a Linear Combination of Classes of Multivalently Harmonic Functions
Om P. Ahuja , Jay M. Jahangiri
Kent State University, Burton, Ohio, 44021, U. S. A.
New classes of multivalent harmonic functions are introduced. We give sufficient coefficient conditions for these classes. These coefficient conditions are shown to be also necessary if certain restrictions are imposed on the coefficients of these harmonic functions. Furthermore, we determine a representation theorem, inclusion relations, and distortion bounds for these functions.
Keywords: harmonic, multivalent, convex, starlike